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2074467840 = 29351715889
BaseRepresentation
bin111101110100101…
…1101111000000000
312100120110212220020
41323221131320000
513222030432330
6541503013440
7102256454124
oct17351357000
95316425806
102074467840
11974a8a435
1249a89a280
13270a1b683
14159721584
15c21c2210
hex7ba5de00

2074467840 has 160 divisors (see below), whose sum is σ = 7022363040. Its totient is φ = 520617984.

The previous prime is 2074467839. The next prime is 2074467841. The reversal of 2074467840 is 487644702.

2074467840 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2074467839) and next prime (2074467841).

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 2074467792 and 2074467801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074467841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122616 + ... + 138504.

It is an arithmetic number, because the mean of its divisors is an integer number (43889769).

Almost surely, 22074467840 is an apocalyptic number.

2074467840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511181520).

2074467840 is an abundant number, since it is smaller than the sum of its proper divisors (4947895200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2074467840 is a wasteful number, since it uses less digits than its factorization.

2074467840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15932 (or 15916 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 2074467840 is about 45546.3263063005. The cubic root of 2074467840 is about 1275.3681551232.

The spelling of 2074467840 in words is "two billion, seventy-four million, four hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 512 544 640 680 768 816 960 1020 1088 1280 1360 1536 1632 1920 2040 2176 2560 2720 3264 3840 4080 4352 5440 6528 7680 8160 8704 10880 13056 15889 16320 21760 26112 31778 32640 43520 47667 63556 65280 79445 95334 127112 130560 158890 190668 238335 254224 270113 317780 381336 476670 508448 540226 635560 762672 810339 953340 1016896 1080452 1271120 1350565 1525344 1620678 1906680 2033792 2160904 2542240 2701130 3050688 3241356 3813360 4051695 4067584 4321808 5084480 5402260 6101376 6482712 7626720 8103390 8135168 8643616 10168960 10804520 12202752 12965424 15253440 16206780 17287232 20337920 21609040 24405504 25930848 30506880 32413560 34574464 40675840 43218080 51861696 61013760 64827120 69148928 86436160 103723392 122027520 129654240 138297856 172872320 207446784 259308480 345744640 414893568 518616960 691489280 1037233920 2074467840