2772564 has 24 divisors (see below), whose sum is σ = 6850368. Its totient is φ = 869760.

The previous prime is 2772533. The next prime is 2772569. The reversal of 2772564 is 4652772.

It is a super-2 number, since 2×2772564² = 15374222268192, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6592 + ... + 6999.

It is an arithmetic number, because the mean of its divisors is an integer number (285432).

2^2772564 is an apocalyptic number.

It is an amenable number.

2772564 is an abundant number, since it is smaller than the sum of its proper divisors (4077804).

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

2772564 is a wasteful number, since it uses less digits than its factorization.

2772564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13615 (or 13613 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 2772564 is about 1665.1017986898. The cubic root of 2772564 is about 140.4841063906.

The spelling of 2772564 in words is "two million, seven hundred seventy-two thousand, five hundred sixty-four".