2513344405120 has 128 divisors (see below), whose sum is σ = 6327964944000. Its totient is φ = 951933431808.

The previous prime is 2513344405109. The next prime is 2513344405133. The reversal of 2513344405120 is 215044433152.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23939301 + ... + 24044059.

It is an arithmetic number, because the mean of its divisors is an integer number (49437226125).

Almost surely, 2^{2513344405120} is an apocalyptic number.

2513344405120 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 2513344405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163982472000).

2513344405120 is an abundant number, since it is smaller than the sum of its proper divisors (3814620538880).

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

2513344405120 is a wasteful number, since it uses less digits than its factorization.

2513344405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106770 (or 106758 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 2513344405120 its reverse (215044433152), we get a palindrome (2728388838272).

The spelling of 2513344405120 in words is "two trillion, five hundred thirteen billion, three hundred forty-four million, four hundred five thousand, one hundred twenty".