2501952 has 56 divisors (see below), whose sum is σ = 6742176. Its totient is φ = 818688.

The previous prime is 2501923. The next prime is 2501953. The reversal of 2501952 is 2591052.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501953) 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, 15858 + ... + 16014.

It is an arithmetic number, because the mean of its divisors is an integer number (120396).

2^2501952 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 2501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371088).

2501952 is an abundant number, since it is smaller than the sum of its proper divisors (4240224).

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

2501952 is a wasteful number, since it uses less digits than its factorization.

2501952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2501952 is about 1581.7559862381. The cubic root of 2501952 is about 135.7561952614.

Subtracting from 2501952 its product of nonzero digits (900), we obtain a palindrome (2501052).

The spelling of 2501952 in words is "two million, five hundred one thousand, nine hundred fifty-two".