2013668640 has 192 divisors, whose sum is σ = 7419081600. Its totient is φ = 508695552.

The previous prime is 2013668623. The next prime is 2013668641. The reversal of 2013668640 is 468663102.

2013668640 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 6 + 6 + 8 + 640 = 666.

It is a super-2 number, since 2×2013668640² = 8109722783438899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2013668595 and 2013668604.

It is not an unprimeable number, because it can be changed into a prime (2013668641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69814 + ... + 94346.

It is an arithmetic number, because the mean of its divisors is an integer number (38641050).

Almost surely, 2^2013668640 is an apocalyptic number.

2013668640 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 2013668640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709540800).

2013668640 is an abundant number, since it is smaller than the sum of its proper divisors (5405412960).

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

2013668640 is a wasteful number, since it uses less digits than its factorization.

2013668640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24576 (or 24562 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2013668640 is about 44873.9193741755. The cubic root of 2013668640 is about 1262.7847704515.

The spelling of 2013668640 in words is "two billion, thirteen million, six hundred sixty-eight thousand, six hundred forty".