2652864 has 56 divisors (see below), whose sum is σ = 7211568. Its totient is φ = 860160.

The previous prime is 2652847. The next prime is 2652883. The reversal of 2652864 is 4682562.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7704 + ... + 8040.

It is an arithmetic number, because the mean of its divisors is an integer number (128778).

2^2652864 is an apocalyptic number.

2652864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605784).

2652864 is an abundant number, since it is smaller than the sum of its proper divisors (4558704).

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

2652864 is a wasteful number, since it uses less digits than its factorization.

2652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 383 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 2652864 is about 1628.7614926686. The cubic root of 2652864 is about 138.4325850191.

The spelling of 2652864 in words is "two million, six hundred fifty-two thousand, eight hundred sixty-four".