2135752768 has 28 divisors (see below), whose sum is σ = 4422404160. Its totient is φ = 1021446272.

The previous prime is 2135752727. The next prime is 2135752799. The reversal of 2135752768 is 8672575312.

It is a super-2 number, since 2×2135752768² = 9122879772039323648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 723988 + ... + 726931.

Almost surely, 2^2135752768 is an apocalyptic number.

It is an amenable number.

2135752768 is an abundant number, since it is smaller than the sum of its proper divisors (2286651392).

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

2135752768 is a wasteful number, since it uses less digits than its factorization.

2135752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450954 (or 1450944 counting only the distinct ones).

The product of its digits is 705600, while the sum is 46.

The square root of 2135752768 is about 46214.2052620187. The cubic root of 2135752768 is about 1287.8056494685.

The spelling of 2135752768 in words is "two billion, one hundred thirty-five million, seven hundred fifty-two thousand, seven hundred sixty-eight".