2631264 has 24 divisors (see below), whose sum is σ = 6907320. Its totient is φ = 877056.

The previous prime is 2631263. The next prime is 2631271. The reversal of 2631264 is 4621362.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13609 + ... + 13800.

It is an arithmetic number, because the mean of its divisors is an integer number (287805).

2^2631264 is an apocalyptic number.

2631264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2631264 is an abundant number, since it is smaller than the sum of its proper divisors (4276056).

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

2631264 is a wasteful number, since it uses less digits than its factorization.

2631264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27422 (or 27414 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2631264 is about 1622.1171351046. The cubic root of 2631264 is about 138.0558480109.

The spelling of 2631264 in words is "two million, six hundred thirty-one thousand, two hundred sixty-four".