2513235409920 has 352 divisors, whose sum is σ = 8960829292800. Its totient is φ = 668001779712.

The previous prime is 2513235409903. The next prime is 2513235409943. The reversal of 2513235409920 is 299045323152.

2513235409920 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 235 + 409 + 9 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42410071 + ... + 42469289.

It is an arithmetic number, because the mean of its divisors is an integer number (25456901400).

Almost surely, 2^{2513235409920} is an apocalyptic number.

2513235409920 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 2513235409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480414646400).

2513235409920 is an abundant number, since it is smaller than the sum of its proper divisors (6447593882880).

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

2513235409920 is a wasteful number, since it uses less digits than its factorization.

2513235409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59560 (or 59536 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 2513235409920 in words is "two trillion, five hundred thirteen billion, two hundred thirty-five million, four hundred nine thousand, nine hundred twenty".