2507264 has 40 divisors (see below), whose sum is σ = 5155920. Its totient is φ = 1217536.

The previous prime is 2507251. The next prime is 2507291. The reversal of 2507264 is 4627052.

It is a d-powerful number, because it can be written as 2¹¹ + 5 + 0 + 7⁷ + 2¹¹ + 6⁸ + 4 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30167 + ... + 30249.

It is an arithmetic number, because the mean of its divisors is an integer number (128898).

2^2507264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2507264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577960).

2507264 is an abundant number, since it is smaller than the sum of its proper divisors (2648656).

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

2507264 is an frugal number, since it uses more digits than its factorization.

2507264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 2507264 is about 1583.4342423985. The cubic root of 2507264 is about 135.8522039181.

The spelling of 2507264 in words is "two million, five hundred seven thousand, two hundred sixty-four".