2787264 has 56 divisors (see below), whose sum is σ = 8199120. Its totient is φ = 928512.

The previous prime is 2787259. The next prime is 2787271. The reversal of 2787264 is 4627872.

2787264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 922 + ... + 2534.

2^2787264 is an apocalyptic number.

2787264 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 2787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099560).

2787264 is an abundant number, since it is smaller than the sum of its proper divisors (5411856).

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

2787264 is a wasteful number, since it uses less digits than its factorization.

2787264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1618 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2787264 is about 1669.5101077861. The cubic root of 2787264 is about 140.7319488643.

The spelling of 2787264 in words is "two million, seven hundred eighty-seven thousand, two hundred sixty-four".