2013047794560 has 256 divisors, whose sum is σ = 7001452339200. Its totient is φ = 487904501760.

The previous prime is 2013047794529. The next prime is 2013047794579. The reversal of 2013047794560 is 654977403102.

It is a super-2 number, since 2×2013047794560² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141686977 + ... + 141701183.

It is an arithmetic number, because the mean of its divisors is an integer number (27349423200).

Almost surely, 2^{2013047794560} is an apocalyptic number.

2013047794560 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 2013047794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500726169600).

2013047794560 is an abundant number, since it is smaller than the sum of its proper divisors (4988404544640).

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

2013047794560 is a wasteful number, since it uses less digits than its factorization.

2013047794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20949 (or 20937 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 2013047794560 in words is "two trillion, thirteen billion, forty-seven million, seven hundred ninety-four thousand, five hundred sixty".