2136616704 has 180 divisors, whose sum is σ = 6419541744. Its totient is φ = 706793472.

The previous prime is 2136616649. The next prime is 2136616711. The reversal of 2136616704 is 4076166312.

It is a happy number.

2136616704 is a `hidden beast` number, since 2 + 1 + 36 + 616 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3462604 + ... + 3463220.

Almost surely, 2^2136616704 is an apocalyptic number.

2136616704 is a gapful number since it is divisible by the number (24) 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 2136616704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209770872).

2136616704 is an abundant number, since it is smaller than the sum of its proper divisors (4282925040).

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

2136616704 is an equidigital number, since it uses as much as digits as its factorization.

2136616704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2136616704 is about 46223.5513996923. The cubic root of 2136616704 is about 1287.9792700134.

The spelling of 2136616704 in words is "two billion, one hundred thirty-six million, six hundred sixteen thousand, seven hundred four".