2513090875680 has 2592 divisors, whose sum is σ = 12008433161088. Its totient is φ = 484147445760.

The previous prime is 2513090875651. The next prime is 2513090875699. The reversal of 2513090875680 is 865780903152.

2513090875680 is a `hidden beast` number, since 251 + 309 + 0 + 8 + 7 + 5 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 37508819007 + ... + 37508819073.

It is an arithmetic number, because the mean of its divisors is an integer number (4632883164).

Almost surely, 2^{2513090875680} is an apocalyptic number.

2513090875680 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 2513090875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004216580544).

2513090875680 is an abundant number, since it is smaller than the sum of its proper divisors (9495342285408).

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

2513090875680 is a wasteful number, since it uses less digits than its factorization.

2513090875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 2513090875680 in words is "two trillion, five hundred thirteen billion, ninety million, eight hundred seventy-five thousand, six hundred eighty".