2564900 has 36 divisors (see below), whose sum is σ = 5997012. Its totient is φ = 946560.

The previous prime is 2564899. The next prime is 2564917. The reversal of 2564900 is 94652.

It can be written as a sum of positive squares in 6 ways, for example, as 565504 + 1999396 = 752^2 + 1414^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2564900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314 + ... + 2286.

2^2564900 is an apocalyptic number.

2564900 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 2564900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998506).

2564900 is an abundant number, since it is smaller than the sum of its proper divisors (3432112).

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

2564900 is a wasteful number, since it uses less digits than its factorization.

2564900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2564900 is about 1601.5305179734. The cubic root of 2564900 is about 136.8853001291.

It can be divided in two parts, 256 and 4900, that multiplied together give a square (1254400 = 1120²).

The spelling of 2564900 in words is "two million, five hundred sixty-four thousand, nine hundred".