2115121536 has 192 divisors, whose sum is σ = 6723138240. Its totient is φ = 632908800.

The previous prime is 2115121513. The next prime is 2115121597. The reversal of 2115121536 is 6351215112.

2115121536 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 121 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2115121536² = 8947478224101998592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050771 + ... + 1052781.

It is an arithmetic number, because the mean of its divisors is an integer number (35016345).

Almost surely, 2^2115121536 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 2115121536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361569120).

2115121536 is an abundant number, since it is smaller than the sum of its proper divisors (4608016704).

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

2115121536 is a wasteful number, since it uses less digits than its factorization.

2115121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2110 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 2115121536 is about 45990.4504870305. The cubic root of 2115121536 is about 1283.6455189388.

Adding to 2115121536 its reverse (6351215112), we get a palindrome (8466336648).

The spelling of 2115121536 in words is "two billion, one hundred fifteen million, one hundred twenty-one thousand, five hundred thirty-six".