2564500 has 48 divisors (see below), whose sum is σ = 5870592. Its totient is φ = 976800.

The previous prime is 2564489. The next prime is 2564519. The reversal of 2564500 is 54652.

It is a super-3 number, since 3×2564500³ = 50597535633375000000, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11389 + ... + 11611.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

2^2564500 is an apocalyptic number.

2564500 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 2564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296).

2564500 is an abundant number, since it is smaller than the sum of its proper divisors (3306092).

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

2564500 is a wasteful number, since it uses less digits than its factorization.

2564500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2564500 is about 1601.4056325616. The cubic root of 2564500 is about 136.8781839366.

The spelling of 2564500 in words is "two million, five hundred sixty-four thousand, five hundred".