2513965140 has 96 divisors (see below), whose sum is σ = 7987714560. Its totient is φ = 656120448.

The previous prime is 2513965121. The next prime is 2513965163. The reversal of 2513965140 is 415693152.

2513965140 is a `hidden beast` number, since 2 + 5 + 139 + 6 + 514 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 2513965095 and 2513965104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24147 + ... + 74906.

It is an arithmetic number, because the mean of its divisors is an integer number (83205360).

Almost surely, 2^2513965140 is an apocalyptic number.

2513965140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513965140 is an abundant number, since it is smaller than the sum of its proper divisors (5473749420).

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

2513965140 is a wasteful number, since it uses less digits than its factorization.

2513965140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99118 (or 99110 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2513965140 is about 50139.4569176811. The cubic root of 2513965140 is about 1359.7312653851.

The spelling of 2513965140 in words is "two billion, five hundred thirteen million, nine hundred sixty-five thousand, one hundred forty".