2501352 has 72 divisors (see below), whose sum is σ = 7891650. Its totient is φ = 713664.

The previous prime is 2501351. The next prime is 2501357. The reversal of 2501352 is 2531052.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2414916 + 86436 = 1554^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2501351) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3174 + ... + 3882.

2^2501352 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 2501352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3945825).

2501352 is an abundant number, since it is smaller than the sum of its proper divisors (5390298).

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

2501352 is a wasteful number, since it uses less digits than its factorization.

2501352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 2501352 is about 1581.5663122361. The cubic root of 2501352 is about 135.7453423715.

Subtracting from 2501352 its product of nonzero digits (300), we obtain a palindrome (2501052).

The spelling of 2501352 in words is "two million, five hundred one thousand, three hundred fifty-two".