2858768640 has 864 divisors, whose sum is σ = 12749458176. Its totient is φ = 597196800.

The previous prime is 2858768617. The next prime is 2858768651. The reversal of 2858768640 is 468678582.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28304590 + ... + 28304690.

Almost surely, 2^2858768640 is an apocalyptic number.

2858768640 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 2858768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374729088).

2858768640 is an abundant number, since it is smaller than the sum of its proper divisors (9890689536).

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

2858768640 is a wasteful number, since it uses less digits than its factorization.

2858768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The square root of 2858768640 is about 53467.4540257903. The cubic root of 2858768640 is about 1419.2525061422.

The spelling of 2858768640 in words is "two billion, eight hundred fifty-eight million, seven hundred sixty-eight thousand, six hundred forty".