2564072 has 48 divisors (see below), whose sum is σ = 5800320. Its totient is φ = 1058400.

The previous prime is 2564071. The next prime is 2564077. The reversal of 2564072 is 2704652.

It is not an unprimeable number, because it can be changed into a prime (2564071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12047 + ... + 12257.

It is an arithmetic number, because the mean of its divisors is an integer number (120840).

2^2564072 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 2564072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900160).

2564072 is an abundant number, since it is smaller than the sum of its proper divisors (3236248).

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

2564072 is a wasteful number, since it uses less digits than its factorization.

2564072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2564072 is about 1601.2719943845. The cubic root of 2564072 is about 136.8705687910.

The spelling of 2564072 in words is "two million, five hundred sixty-four thousand, seventy-two".