2562560000 has 520 divisors, whose sum is σ = 8597797824. Its totient is φ = 737280000.

The previous prime is 2562559999. The next prime is 2562560047. The reversal of 2562560000 is 652652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (520).

It is a Harshad number since it is a multiple of its sum of digits (26).

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 39 ways as a sum of consecutive naturals, for example, 197119994 + ... + 197120006.

Almost surely, 2^2562560000 is an apocalyptic number.

2562560000 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 2562560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298898912).

2562560000 is an abundant number, since it is smaller than the sum of its proper divisors (6035237824).

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

2562560000 is an equidigital number, since it uses as much as digits as its factorization.

2562560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2562560000 is about 50621.7344625804. The cubic root of 2562560000 is about 1368.4365990137.

It can be divided in two parts, 256 and 2560000, that multiplied together give a 4-th power (655360000 = 160⁴).

The spelling of 2562560000 in words is "two billion, five hundred sixty-two million, five hundred sixty thousand".