2513115608640 has 2688 divisors, whose sum is σ = 11402504601600. Its totient is φ = 457532375040.

The previous prime is 2513115608639. The next prime is 2513115608737. The reversal of 2513115608640 is 468065113152.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2513115608592 and 2513115608601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 81068245425 + ... + 81068245455.

It is an arithmetic number, because the mean of its divisors is an integer number (4242003200).

Almost surely, 2^{2513115608640} is an apocalyptic number.

2513115608640 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 2513115608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701252300800).

2513115608640 is an abundant number, since it is smaller than the sum of its proper divisors (8889388992960).

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

2513115608640 is a wasteful number, since it uses less digits than its factorization.

2513115608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 2513115608640 in words is "two trillion, five hundred thirteen billion, one hundred fifteen million, six hundred eight thousand, six hundred forty".