2858560640 has 256 divisors, whose sum is σ = 7865424000. Its totient is φ = 990572544.

The previous prime is 2858560637. The next prime is 2858560687. The reversal of 2858560640 is 460658582.

It is a junction number, because it is equal to n+sod(n) for n = 2858560591 and 2858560600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26715467 + ... + 26715573.

Almost surely, 2^2858560640 is an apocalyptic number.

2858560640 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 2858560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932712000).

2858560640 is an abundant number, since it is smaller than the sum of its proper divisors (5006863360).

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

2858560640 is a wasteful number, since it uses less digits than its factorization.

2858560640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The square root of 2858560640 is about 53465.5088818951. The cubic root of 2858560640 is about 1419.2180843662.

The spelling of 2858560640 in words is "two billion, eight hundred fifty-eight million, five hundred sixty thousand, six hundred forty".