2564496 has 60 divisors (see below), whose sum is σ = 7834320. Its totient is φ = 776640.

The previous prime is 2564489. The next prime is 2564519. The reversal of 2564496 is 6944652.

2564496 is a `hidden beast` number, since 2 + 5 + 644 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2564496.

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, 775 + ... + 2393.

It is an arithmetic number, because the mean of its divisors is an integer number (130572).

2^2564496 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 2564496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3917160).

2564496 is an abundant number, since it is smaller than the sum of its proper divisors (5269824).

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

2564496 is a wasteful number, since it uses less digits than its factorization.

2564496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1635 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2564496 is about 1601.4043836583. The cubic root of 2564496 is about 136.8781127709.

The spelling of 2564496 in words is "two million, five hundred sixty-four thousand, four hundred ninety-six".