2013956680 has 128 divisors (see below), whose sum is σ = 5105721600. Its totient is φ = 710443008.

The previous prime is 2013956671. The next prime is 2013956687. The reversal of 2013956680 is 866593102.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2013956687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252437 + ... + 1254043.

It is an arithmetic number, because the mean of its divisors is an integer number (39888450).

Almost surely, 2^2013956680 is an apocalyptic number.

2013956680 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 2013956680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552860800).

2013956680 is an abundant number, since it is smaller than the sum of its proper divisors (3091764920).

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

2013956680 is a wasteful number, since it uses less digits than its factorization.

2013956680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 2013956680 is about 44877.1286960296. The cubic root of 2013956680 is about 1262.8449781700.

The spelling of 2013956680 in words is "two billion, thirteen million, nine hundred fifty-six thousand, six hundred eighty".