2115641160 has 256 divisors, whose sum is σ = 7529760000. Its totient is φ = 526528512.

The previous prime is 2115641119. The next prime is 2115641191. The reversal of 2115641160 is 611465112.

2115641160 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 641 + 16 + 0 = 666.

2115641160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2115641160² = 8951875035772291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2551626 + ... + 2552454.

It is an arithmetic number, because the mean of its divisors is an integer number (29413125).

Almost surely, 2^2115641160 is an apocalyptic number.

2115641160 is a gapful number since it is divisible by the number (20) 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 2115641160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764880000).

2115641160 is an abundant number, since it is smaller than the sum of its proper divisors (5414118840).

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

2115641160 is a wasteful number, since it uses less digits than its factorization.

2115641160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2115641160 is about 45996.0993998404. The cubic root of 2115641160 is about 1283.7506284866.

The spelling of 2115641160 in words is "two billion, one hundred fifteen million, six hundred forty-one thousand, one hundred sixty".