2115116928 has 256 divisors, whose sum is σ = 6475776000. Its totient is φ = 679311360.

The previous prime is 2115116923. The next prime is 2115116929. The reversal of 2115116928 is 8296115112.

It is a super-2 number, since 2×2115116928² = 8947439238224314368, which contains 22 as substring.

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 = 2115116892 and 2115116901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115116921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16654401 + ... + 16654527.

It is an arithmetic number, because the mean of its divisors is an integer number (25296000).

Almost surely, 2^2115116928 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 2115116928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237888000).

2115116928 is an abundant number, since it is smaller than the sum of its proper divisors (4360659072).

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

2115116928 is a wasteful number, since it uses less digits than its factorization.

2115116928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its digits is 8640, while the sum is 36.

The square root of 2115116928 is about 45990.4003896465. The cubic root of 2115116928 is about 1283.6445867555.

The spelling of 2115116928 in words is "two billion, one hundred fifteen million, one hundred sixteen thousand, nine hundred twenty-eight".