2502272 has 32 divisors (see below), whose sum is σ = 5058180. Its totient is φ = 1232896.

The previous prime is 2502263. The next prime is 2502287. The reversal of 2502272 is 2722052.

It can be written as a sum of positive squares in 2 ways, for example, as 2483776 + 18496 = 1576^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×2502272² = 12522730323968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14378 + ... + 14550.

2^2502272 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 2502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529090).

2502272 is an abundant number, since it is smaller than the sum of its proper divisors (2555908).

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

2502272 is a wasteful number, since it uses less digits than its factorization.

2502272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 2502272 is about 1581.8571364064. The cubic root of 2502272 is about 135.7619827599.

The spelling of 2502272 in words is "two million, five hundred two thousand, two hundred seventy-two".