2015616384 has 96 divisors (see below), whose sum is σ = 5811115440. Its totient is φ = 670602240.

The previous prime is 2015616367. The next prime is 2015616391. The reversal of 2015616384 is 4836165102.

It is a happy number.

2015616384 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 616 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2015616384³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 760149 + ... + 762795.

Almost surely, 2^2015616384 is an apocalyptic number.

2015616384 is a gapful number since it is divisible by the number (24) 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 2015616384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2905557720).

2015616384 is an abundant number, since it is smaller than the sum of its proper divisors (3795499056).

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

2015616384 is a wasteful number, since it uses less digits than its factorization.

2015616384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2015616384 is about 44895.6165343567. The cubic root of 2015616384 is about 1263.1917869152.

The spelling of 2015616384 in words is "two billion, fifteen million, six hundred sixteen thousand, three hundred eighty-four".