2513885952 has 72 divisors (see below), whose sum is σ = 6846288064. Its totient is φ = 818463744.

The previous prime is 2513885921. The next prime is 2513885971. The reversal of 2513885952 is 2595883152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5038 + ... + 71085.

Almost surely, 2^2513885952 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 2513885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423144032).

2513885952 is an abundant number, since it is smaller than the sum of its proper divisors (4332402112).

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

2513885952 is an equidigital number, since it uses as much as digits as its factorization.

2513885952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76185 (or 76171 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 2513885952 is about 50138.6672339822. The cubic root of 2513885952 is about 1359.7169883998.

The spelling of 2513885952 in words is "two billion, five hundred thirteen million, eight hundred eighty-five thousand, nine hundred fifty-two".