2508272 has 40 divisors (see below), whose sum is σ = 5416320. Its totient is φ = 1117440.

The previous prime is 2508269. The next prime is 2508277. The reversal of 2508272 is 2728052.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a d-powerful number, because it can be written as 2¹² + 5⁸ + 0 + 8 + 2¹⁴ + 7 + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6254 + ... + 6642.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

2^2508272 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 2508272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708160).

2508272 is an abundant number, since it is smaller than the sum of its proper divisors (2908048).

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

2508272 is a wasteful number, since it uses less digits than its factorization.

2508272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 2508272 is about 1583.7525059175. The cubic root of 2508272 is about 135.8704071168.

The spelling of 2508272 in words is "two million, five hundred eight thousand, two hundred seventy-two".