2015682261984 has 192 divisors, whose sum is σ = 6093512712000. Its totient is φ = 647475978240.

The previous prime is 2015682261953. The next prime is 2015682262039. The reversal of 2015682261984 is 4891622865102.

2015682261984 is a `hidden beast` number, since 2 + 0 + 15 + 6 + 8 + 2 + 2 + 619 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2015682261984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12976972 + ... + 13131380.

It is an arithmetic number, because the mean of its divisors is an integer number (31737045375).

Almost surely, 2^{2015682261984} is an apocalyptic number.

2015682261984 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 2015682261984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046756356000).

2015682261984 is an abundant number, since it is smaller than the sum of its proper divisors (4077830450016).

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

2015682261984 is a wasteful number, since it uses less digits than its factorization.

2015682261984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154978 (or 154964 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 2015682261984 in words is "two trillion, fifteen billion, six hundred eighty-two million, two hundred sixty-one thousand, nine hundred eighty-four".