2015879040 has 576 divisors, whose sum is σ = 8499872160. Its totient is φ = 431161344.

The previous prime is 2015879011. The next prime is 2015879071. The reversal of 2015879040 is 409785102.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2015879040² = 8127536607822643200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 2015878986 and 2015879004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11652394 + ... + 11652566.

Almost surely, 2^2015879040 is an apocalyptic number.

2015879040 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 2015879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249936080).

2015879040 is an abundant number, since it is smaller than the sum of its proper divisors (6483993120).

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

2015879040 is a wasteful number, since it uses less digits than its factorization.

2015879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2015879040 is about 44898.5416244225. The cubic root of 2015879040 is about 1263.2466535876.

The spelling of 2015879040 in words is "two billion, fifteen million, eight hundred seventy-nine thousand, forty".