2513488320 has 420 divisors, whose sum is σ = 10405917720. Its totient is φ = 574221312.

The previous prime is 2513488291. The next prime is 2513488343. The reversal of 2513488320 is 238843152.

2513488320 is a `hidden beast` number, since 2 + 513 + 48 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269091 + ... + 1271069.

Almost surely, 2^2513488320 is an apocalyptic number.

2513488320 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 2513488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202958860).

2513488320 is an abundant number, since it is smaller than the sum of its proper divisors (7892429400).

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

2513488320 is a wasteful number, since it uses less digits than its factorization.

2513488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2513488320 is about 50134.7017543737. The cubic root of 2513488320 is about 1359.6452938858.

The spelling of 2513488320 in words is "two billion, five hundred thirteen million, four hundred eighty-eight thousand, three hundred twenty".