2513952 has 144 divisors (see below), whose sum is σ = 8648640. Its totient is φ = 677376.

The previous prime is 2513941. The next prime is 2514013. The reversal of 2513952 is 2593152.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58443 + ... + 58485.

It is an arithmetic number, because the mean of its divisors is an integer number (60060).

2^2513952 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 2513952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320).

2513952 is an abundant number, since it is smaller than the sum of its proper divisors (6134688).

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

2513952 is a wasteful number, since it uses less digits than its factorization.

2513952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 84 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2513952 is about 1585.5447013566. The cubic root of 2513952 is about 135.9728896365.

The spelling of 2513952 in words is "two million, five hundred thirteen thousand, nine hundred fifty-two".