2015233920 has 384 divisors, whose sum is σ = 8029831680. Its totient is φ = 456192000.

The previous prime is 2015233877. The next prime is 2015233937. The reversal of 2015233920 is 293325102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2015233920² = 8122335504637132800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6088155 + ... + 6088485.

It is an arithmetic number, because the mean of its divisors is an integer number (20911020).

Almost surely, 2^2015233920 is an apocalyptic number.

2015233920 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 2015233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014915840).

2015233920 is an abundant number, since it is smaller than the sum of its proper divisors (6014597760).

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

2015233920 is a wasteful number, since it uses less digits than its factorization.

2015233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2015233920 is about 44891.3568518484. The cubic root of 2015233920 is about 1263.1118848154. Note that the first 3 decimals are identical.

The spelling of 2015233920 in words is "two billion, fifteen million, two hundred thirty-three thousand, nine hundred twenty".