2513897104320 has 1120 divisors, whose sum is σ = 10589539847040. Its totient is φ = 554145546240.

The previous prime is 2513897104217. The next prime is 2513897104339. The reversal of 2513897104320 is 234017983152.

It is a happy number.

2513897104320 is a `hidden beast` number, since 2 + 5 + 138 + 97 + 104 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×2513897104320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 662072662 + ... + 662076458.

It is an arithmetic number, because the mean of its divisors is an integer number (9454946292).

Almost surely, 2^{2513897104320} is an apocalyptic number.

2513897104320 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 2513897104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294769923520).

2513897104320 is an abundant number, since it is smaller than the sum of its proper divisors (8075642742720).

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

2513897104320 is a wasteful number, since it uses less digits than its factorization.

2513897104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3944 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2513897104320 in words is "two trillion, five hundred thirteen billion, eight hundred ninety-seven million, one hundred four thousand, three hundred twenty".