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2081850720 = 25355098521
BaseRepresentation
bin111110000010110…
…1000010101100000
312101002100222022020
41330011220111200
513230423210340
6542325141440
7102406303425
oct17405502540
95332328266
102081850720
11979172294
124a125a880
13272404c41
1415a6c3d4c
15c2b7e9d0
hex7c168560

2081850720 has 96 divisors (see below), whose sum is σ = 6571484640. Its totient is φ = 554004480.

The previous prime is 2081850713. The next prime is 2081850721. The reversal of 2081850720 is 270581802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081850721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240060 + ... + 248580.

It is an arithmetic number, because the mean of its divisors is an integer number (68452965).

Almost surely, 22081850720 is an apocalyptic number.

2081850720 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 2081850720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285742320).

2081850720 is an abundant number, since it is smaller than the sum of its proper divisors (4489633920).

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

2081850720 is a wasteful number, since it uses less digits than its factorization.

2081850720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9048 (or 9040 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 2081850720 is about 45627.3023528676. The cubic root of 2081850720 is about 1276.8793446021.

The spelling of 2081850720 in words is "two billion, eighty-one million, eight hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 509 1018 1527 2036 2545 3054 4072 5090 6108 7635 8144 8521 10180 12216 15270 16288 17042 20360 24432 25563 30540 34084 40720 42605 48864 51126 61080 68168 81440 85210 102252 122160 127815 136336 170420 204504 244320 255630 272672 340840 409008 511260 681680 818016 1022520 1363360 2045040 4090080 4337189 8674378 13011567 17348756 21685945 26023134 34697512 43371890 52046268 65057835 69395024 86743780 104092536 130115670 138790048 173487560 208185072 260231340 346975120 416370144 520462680 693950240 1040925360 2081850720