2505264 has 80 divisors (see below), whose sum is σ = 7082880. Its totient is φ = 760320.

The previous prime is 2505263. The next prime is 2505271. The reversal of 2505264 is 4625052.

2505264 = T₅₀₄ + T₅₀₅ + ... + T₅₂₂.

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

It is not an unprimeable number, because it can be changed into a prime (2505263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37359 + ... + 37425.

It is an arithmetic number, because the mean of its divisors is an integer number (88536).

2^2505264 is an apocalyptic number.

2505264 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 2505264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541440).

2505264 is an abundant number, since it is smaller than the sum of its proper divisors (4577616).

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

2505264 is a wasteful number, since it uses less digits than its factorization.

2505264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2505264 is about 1582.8025777083. The cubic root of 2505264 is about 135.8160720117.

The spelling of 2505264 in words is "two million, five hundred five thousand, two hundred sixty-four".