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2881012680 = 2332571387943
BaseRepresentation
bin1010101110111000…
…1100001111001000
321102210010121102100
42223232030033020
521400014401210
61153514033400
7131252126610
oct25356141710
97383117370
102881012680
111249290517
12684a18860
1336bb53540
141d48b1a40
1511cddd5c0
hexabb8c3c8

2881012680 has 192 divisors, whose sum is σ = 11524181760. Its totient is φ = 607855104.

The previous prime is 2881012679. The next prime is 2881012699. The reversal of 2881012680 is 862101882.

2881012680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11212 + ... + 76731.

It is an arithmetic number, because the mean of its divisors is an integer number (60021780).

Almost surely, 22881012680 is an apocalyptic number.

2881012680 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 2881012680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762090880).

2881012680 is an abundant number, since it is smaller than the sum of its proper divisors (8643169080).

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

2881012680 is a wasteful number, since it uses less digits than its factorization.

2881012680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87980 (or 87973 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2881012680 is about 53675.0657195685. The cubic root of 2881012680 is about 1422.9240612687.

The spelling of 2881012680 in words is "two billion, eight hundred eighty-one million, twelve thousand, six hundred eighty".