2513606954880 has 1536 divisors, whose sum is σ = 10172791296000. Its totient is φ = 527353774080.

The previous prime is 2513606954879. The next prime is 2513606955017. The reversal of 2513606954880 is 884596063152.

It is a super-2 number, since 2×2513606954880² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2513606954880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8945220340 + ... + 8945220620.

It is an arithmetic number, because the mean of its divisors is an integer number (6622911000).

Almost surely, 2^{2513606954880} is an apocalyptic number.

2513606954880 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 2513606954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086395648000).

2513606954880 is an abundant number, since it is smaller than the sum of its proper divisors (7659184341120).

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

2513606954880 is a wasteful number, since it uses less digits than its factorization.

2513606954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 2513606954880 in words is "two trillion, five hundred thirteen billion, six hundred six million, nine hundred fifty-four thousand, eight hundred eighty".