2782464 has 36 divisors (see below), whose sum is σ = 7407456. Its totient is φ = 927232.

The previous prime is 2782421. The next prime is 2782469. The reversal of 2782464 is 4642872.

2782464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2782464² = 15484211822592, which contains 22 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782469) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1044 + ... + 2579.

2^2782464 is an apocalyptic number.

2782464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2782464 is an abundant number, since it is smaller than the sum of its proper divisors (4624992).

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

2782464 is an equidigital number, since it uses as much as digits as its factorization.

2782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3642 (or 3628 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 2782464 is about 1668.0719408946. The cubic root of 2782464 is about 140.6511167296.

The spelling of 2782464 in words is "two million, seven hundred eighty-two thousand, four hundred sixty-four".