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2872080640 = 285111321771
BaseRepresentation
bin1010101100110000…
…0111100100000000
321102011022210222001
42223030013210000
521340223040030
61152554353344
7131113165642
oct25314074400
97364283861
102872080640
11124423a770
12681a2b854
1336a046b00
141d3628892
1511c226cca
hexab307900

2872080640 has 432 divisors, whose sum is σ = 8725885056. Its totient is φ = 894566400.

The previous prime is 2872080619. The next prime is 2872080643. The reversal of 2872080640 is 460802782.

It is a self number, because there is not a number n which added to its sum of digits gives 2872080640.

It is not an unprimeable number, because it can be changed into a prime (2872080643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40451805 + ... + 40451875.

It is an arithmetic number, because the mean of its divisors is an integer number (20198808).

Almost surely, 22872080640 is an apocalyptic number.

2872080640 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 2872080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362942528).

2872080640 is an abundant number, since it is smaller than the sum of its proper divisors (5853804416).

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

2872080640 is a wasteful number, since it uses less digits than its factorization.

2872080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2872080640 is about 53591.7963871337. The cubic root of 2872080640 is about 1421.4520358263.

The spelling of 2872080640 in words is "two billion, eight hundred seventy-two million, eighty thousand, six hundred forty".