2013671293920 has 1728 divisors, whose sum is σ = 8696034547200. Its totient is φ = 420244070400.

The previous prime is 2013671293891. The next prime is 2013671293937. The reversal of 2013671293920 is 293921763102.

2013671293920 is a `hidden beast` number, since 2 + 0 + 136 + 7 + 129 + 392 + 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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3055646551 + ... + 3055647209.

It is an arithmetic number, because the mean of its divisors is an integer number (5032427400).

Almost surely, 2^{2013671293920} is an apocalyptic number.

2013671293920 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 2013671293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348017273600).

2013671293920 is an abundant number, since it is smaller than the sum of its proper divisors (6682363253280).

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

2013671293920 is a wasteful number, since it uses less digits than its factorization.

2013671293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 2013671293920 in words is "two trillion, thirteen billion, six hundred seventy-one million, two hundred ninety-three thousand, nine hundred twenty".