2513617920 has 880 divisors, whose sum is σ = 10700078400. Its totient is φ = 557383680.

The previous prime is 2513617907. The next prime is 2513617921. The reversal of 2513617920 is 297163152.

2513617920 is a `hidden beast` number, since 2 + 5 + 13 + 617 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513617921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86676466 + ... + 86676494.

It is an arithmetic number, because the mean of its divisors is an integer number (12159180).

Almost surely, 2^2513617920 is an apocalyptic number.

2513617920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350039200).

2513617920 is an abundant number, since it is smaller than the sum of its proper divisors (8186460480).

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

2513617920 is a wasteful number, since it uses less digits than its factorization.

2513617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 2513617920 is about 50135.9942556244. The cubic root of 2513617920 is about 1359.6686620737.

The spelling of 2513617920 in words is "two billion, five hundred thirteen million, six hundred seventeen thousand, nine hundred twenty".