2856504000 has 448 divisors, whose sum is σ = 11031321600. Its totient is φ = 651033600.

The previous prime is 2856503987. The next prime is 2856504011. The reversal of 2856504000 is 4056582.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8231827 + ... + 8232173.

Almost surely, 2^2856504000 is an apocalyptic number.

2856504000 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 2856504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515660800).

2856504000 is an abundant number, since it is smaller than the sum of its proper divisors (8174817600).

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

2856504000 is an equidigital number, since it uses as much as digits as its factorization.

2856504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2856504000 is about 53446.2720870221. The cubic root of 2856504000 is about 1418.8776425230.

The spelling of 2856504000 in words is "two billion, eight hundred fifty-six million, five hundred four thousand".