2515152 has 40 divisors (see below), whose sum is σ = 6611680. Its totient is φ = 823680.

The previous prime is 2515147. The next prime is 2515153.

2515152 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2515153) 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, 2499 + ... + 3357.

It is an arithmetic number, because the mean of its divisors is an integer number (165292).

2^2515152 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 2515152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305840).

2515152 is an abundant number, since it is smaller than the sum of its proper divisors (4096528).

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

2515152 is a wasteful number, since it uses less digits than its factorization.

2515152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 925 counting only the distinct ones).

The product of its digits is 500, while the sum is 21.

The square root of 2515152 is about 1585.9230750576. The cubic root of 2515152 is about 135.9945211172.

The spelling of 2515152 in words is "two million, five hundred fifteen thousand, one hundred fifty-two".