2013948800 has 96 divisors (see below), whose sum is σ = 4996086480. Its totient is φ = 802181120.

The previous prime is 2013948773. The next prime is 2013948829. The reversal of 2013948800 is 88493102.

It is a happy number.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840404 + ... + 842796.

Almost surely, 2^2013948800 is an apocalyptic number.

2013948800 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 2013948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498043240).

2013948800 is an abundant number, since it is smaller than the sum of its proper divisors (2982137680).

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

2013948800 is a wasteful number, since it uses less digits than its factorization.

2013948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 2013948800 is about 44877.0409006655. The cubic root of 2013948800 is about 1262.8433311251.

The spelling of 2013948800 in words is "two billion, thirteen million, nine hundred forty-eight thousand, eight hundred".