2136193416 has 72 divisors (see below), whose sum is σ = 6730110270. Its totient is φ = 610339968.

The previous prime is 2136193307. The next prime is 2136193441. The reversal of 2136193416 is 6143916312.

2136193416 is a `hidden beast` number, since 2 + 1 + 3 + 619 + 34 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1963376100 + 172817316 = 44310^2 + 13146^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 299221 + ... + 306276.

Almost surely, 2^2136193416 is an apocalyptic number.

It is an amenable number.

2136193416 is an abundant number, since it is smaller than the sum of its proper divisors (4593916854).

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

2136193416 is a wasteful number, since it uses less digits than its factorization.

2136193416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605523 (or 605509 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 2136193416 is about 46218.9724680244. The cubic root of 2136193416 is about 1287.8942099627.

The spelling of 2136193416 in words is "two billion, one hundred thirty-six million, one hundred ninety-three thousand, four hundred sixteen".