2513877384 has 64 divisors (see below), whose sum is σ = 6794308800. Its totient is φ = 772395264.

The previous prime is 2513877343. The next prime is 2513877409. The reversal of 2513877384 is 4837783152.

2513877384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57627 + ... + 91370.

It is an arithmetic number, because the mean of its divisors is an integer number (106161075).

Almost surely, 2^2513877384 is an apocalyptic number.

2513877384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2513877384 is an abundant number, since it is smaller than the sum of its proper divisors (4280431416).

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

2513877384 is a wasteful number, since it uses less digits than its factorization.

2513877384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149062 (or 149058 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 2513877384 is about 50138.5817908724. The cubic root of 2513877384 is about 1359.7154436375.

The spelling of 2513877384 in words is "two billion, five hundred thirteen million, eight hundred seventy-seven thousand, three hundred eighty-four".