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2072602880 = 2859716693
BaseRepresentation
bin111101110001001…
…0110100100000000
312100102222010122122
41323202112210000
513221041243010
6541355023412
7102234555665
oct17342264400
95312863578
102072602880
11973a26247
1249a13ab68
1327051784a
14159397a6c
15c1e54855
hex7b896900

2072602880 has 72 divisors (see below), whose sum is σ = 5016012792. Its totient is φ = 820445184.

The previous prime is 2072602879. The next prime is 2072602907. The reversal of 2072602880 is 882062702.

It can be written as a sum of positive squares in 4 ways, for example, as 3444736 + 2069158144 = 1856^2 + 45488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2072602880.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 115814 + ... + 132506.

Almost surely, 22072602880 is an apocalyptic number.

2072602880 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 2072602880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508006396).

2072602880 is an abundant number, since it is smaller than the sum of its proper divisors (2943409912).

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

2072602880 is an equidigital number, since it uses as much as digits as its factorization.

2072602880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16811 (or 16797 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2072602880 is about 45525.8484819339. The cubic root of 2072602880 is about 1274.9858524638.

The spelling of 2072602880 in words is "two billion, seventy-two million, six hundred two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 256 320 388 485 640 776 970 1280 1552 1940 3104 3880 6208 7760 12416 15520 16693 24832 31040 33386 62080 66772 83465 124160 133544 166930 267088 333860 534176 667720 1068352 1335440 1619221 2136704 2670880 3238442 4273408 5341760 6476884 8096105 10683520 12953768 16192210 21367040 25907536 32384420 51815072 64768840 103630144 129537680 207260288 259075360 414520576 518150720 1036301440 2072602880