2415264 has 48 divisors (see below), whose sum is σ = 6420960. Its totient is φ = 794880.

The previous prime is 2415239. The next prime is 2415271. The reversal of 2415264 is 4625142.

It is a tau number, because it is divible by the number of its divisors (48).

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

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, 13254 + ... + 13434.

It is an arithmetic number, because the mean of its divisors is an integer number (133770).

2^2415264 is an apocalyptic number.

2415264 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 2415264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210480).

2415264 is an abundant number, since it is smaller than the sum of its proper divisors (4005696).

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

2415264 is a wasteful number, since it uses less digits than its factorization.

2415264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2415264 is about 1554.1119650784. Note that the first 3 decimals coincide. The cubic root of 2415264 is about 134.1698299646.

The spelling of 2415264 in words is "two million, four hundred fifteen thousand, two hundred sixty-four".