2082915888768 has 384 divisors, whose sum is σ = 7120845950400. Its totient is φ = 576083312640.

The previous prime is 2082915888737. The next prime is 2082915888793. The reversal of 2082915888768 is 8678885192802.

2082915888768 is a `hidden beast` number, since 208 + 291 + 58 + 8 + 87 + 6 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2082915888696 and 2082915888705.

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, 14590471 + ... + 14732537.

Almost surely, 2^{2082915888768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082915888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560422975200).

2082915888768 is an abundant number, since it is smaller than the sum of its proper divisors (5037930061632).

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

2082915888768 is a wasteful number, since it uses less digits than its factorization.

2082915888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142200 (or 142185 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 2082915888768 in words is "two trillion, eighty-two billion, nine hundred fifteen million, eight hundred eighty-eight thousand, seven hundred sixty-eight".