2015933920 has 384 divisors, whose sum is σ = 6571901952. Its totient is φ = 564019200.

The previous prime is 2015933893. The next prime is 2015933951. The reversal of 2015933920 is 293395102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6566407 + ... + 6566713.

It is an arithmetic number, because the mean of its divisors is an integer number (17114328).

Almost surely, 2^2015933920 is an apocalyptic number.

2015933920 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 2015933920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285950976).

2015933920 is an abundant number, since it is smaller than the sum of its proper divisors (4555968032).

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

2015933920 is a wasteful number, since it uses less digits than its factorization.

2015933920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 2015933920 is about 44899.1527759712. The cubic root of 2015933920 is about 1263.2581169651.

The spelling of 2015933920 in words is "two billion, fifteen million, nine hundred thirty-three thousand, nine hundred twenty".