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2079840504 = 2337232112551
BaseRepresentation
bin111101111110111…
…1101100011111000
312100221120211210210
41323331331203320
513224414344004
6542214111120
7102353231640
oct17375754370
95327524723
102079840504
11978019a55
124a064b4a0
13271b7cc71
1415a31d520
15c28d4089
hex7bf7d8f8

2079840504 has 128 divisors (see below), whose sum is σ = 6232596480. Its totient is φ = 565488000.

The previous prime is 2079840463. The next prime is 2079840509. The reversal of 2079840504 is 4050489702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079840509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814029 + ... + 816579.

It is an arithmetic number, because the mean of its divisors is an integer number (48692160).

Almost surely, 22079840504 is an apocalyptic number.

2079840504 is a gapful number since it is divisible by the number (24) 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 2079840504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116298240).

2079840504 is an abundant number, since it is smaller than the sum of its proper divisors (4152755976).

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

2079840504 is a wasteful number, since it uses less digits than its factorization.

2079840504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2079840504 is about 45605.2683798703. The cubic root of 2079840504 is about 1276.4682312487.

The spelling of 2079840504 in words is "two billion, seventy-nine million, eight hundred forty thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 211 276 322 422 483 552 633 644 844 966 1266 1288 1477 1688 1932 2532 2551 2954 3864 4431 4853 5064 5102 5908 7653 8862 9706 10204 11816 14559 15306 17724 17857 19412 20408 29118 30612 33971 35448 35714 38824 53571 58236 58673 61224 67942 71428 101913 107142 116472 117346 135884 142856 176019 203826 214284 234692 271768 352038 407652 410711 428568 469384 538261 704076 815304 821422 1076522 1232133 1408152 1614783 1642844 2153044 2464266 3229566 3285688 3767827 4306088 4928532 6459132 7535654 9857064 11303481 12380003 12918264 15071308 22606962 24760006 30142616 37140009 45213924 49520012 74280018 86660021 90427848 99040024 148560036 173320042 259980063 297120072 346640084 519960126 693280168 1039920252 2079840504