2802564 has 18 divisors (see below), whose sum is σ = 7084350. Its totient is φ = 934176.

The previous prime is 2802551. The next prime is 2802571. The reversal of 2802564 is 4652082.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 864900 = 1392^2 + 930^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38889 + ... + 38960.

It is an arithmetic number, because the mean of its divisors is an integer number (393575).

2^2802564 is an apocalyptic number.

It is an amenable number.

2802564 is an abundant number, since it is smaller than the sum of its proper divisors (4281786).

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

2802564 is a wasteful number, since it uses less digits than its factorization.

2802564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77859 (or 77854 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2802564 is about 1674.0860192953. The cubic root of 2802564 is about 140.9889835968.

The spelling of 2802564 in words is "two million, eight hundred two thousand, five hundred sixty-four".