2657564 has 48 divisors (see below), whose sum is σ = 5880000. Its totient is φ = 1044288.

The previous prime is 2657563. The next prime is 2657569. The reversal of 2657564 is 4657562.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17762 + ... + 17910.

It is an arithmetic number, because the mean of its divisors is an integer number (122500).

2^2657564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940000).

2657564 is an abundant number, since it is smaller than the sum of its proper divisors (3222436).

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

2657564 is a wasteful number, since it uses less digits than its factorization.

2657564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 2657564 is about 1630.2036682574. The cubic root of 2657564 is about 138.5142890808.

The spelling of 2657564 in words is "two million, six hundred fifty-seven thousand, five hundred sixty-four".