2115680128 has 64 divisors (see below), whose sum is σ = 4372593120. Its totient is φ = 1018828800.

The previous prime is 2115680117. The next prime is 2115680131. The reversal of 2115680128 is 8210865112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2115680128² = 8952204808028192768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2115680093 and 2115680102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 476125 + ... + 480547.

Almost surely, 2^2115680128 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 2115680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186296560).

2115680128 is an abundant number, since it is smaller than the sum of its proper divisors (2256912992).

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

2115680128 is a wasteful number, since it uses less digits than its factorization.

2115680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4575 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 2115680128 is about 45996.5229990268. The cubic root of 2115680128 is about 1283.7585102402.

The spelling of 2115680128 in words is "two billion, one hundred fifteen million, six hundred eighty thousand, one hundred twenty-eight".