2475264 has 72 divisors (see below), whose sum is σ = 7211232. Its totient is φ = 747520.

The previous prime is 2475247. The next prime is 2475269. The reversal of 2475264 is 4625742.

It is a super-2 number, since 2×2475264² = 12253863739392, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁹ + 4 + 7⁷ + 5⁷ + 2¹⁹ + 6³ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2475269) 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 7 ways as a sum of consecutive naturals, for example, 8302 + ... + 8594.

It is an arithmetic number, because the mean of its divisors is an integer number (100156).

2^2475264 is an apocalyptic number.

2475264 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 2475264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605616).

2475264 is an abundant number, since it is smaller than the sum of its proper divisors (4735968).

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

2475264 is a wasteful number, since it uses less digits than its factorization.

2475264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 2475264 is about 1573.2971747257. The cubic root of 2475264 is about 135.2717707707.

It can be divided in two parts, 24 and 75264, that multiplied together give a square (1806336 = 1344²).

The spelling of 2475264 in words is "two million, four hundred seventy-five thousand, two hundred sixty-four".