2136174768 has 400 divisors, whose sum is σ = 7763669760. Its totient is φ = 552033792.

The previous prime is 2136174767. The next prime is 2136174791. The reversal of 2136174768 is 8674716312.

2136174768 is a `hidden beast` number, since 21 + 3 + 617 + 4 + 7 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2136174767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6958071 + ... + 6958377.

Almost surely, 2^2136174768 is an apocalyptic number.

2136174768 is a gapful number since it is divisible by the number (28) 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 2136174768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881834880).

2136174768 is an abundant number, since it is smaller than the sum of its proper divisors (5627494992).

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

2136174768 is a wasteful number, since it uses less digits than its factorization.

2136174768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 391 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 2136174768 is about 46218.7707322469. The cubic root of 2136174768 is about 1287.8904623743.

The spelling of 2136174768 in words is "two billion, one hundred thirty-six million, one hundred seventy-four thousand, seven hundred sixty-eight".