2136746304 has 560 divisors, whose sum is σ = 8125577856. Its totient is φ = 539136000.

The previous prime is 2136746257. The next prime is 2136746341. The reversal of 2136746304 is 4036476312.

It is a happy number.

2136746304 is a `hidden beast` number, since 2 + 13 + 6 + 7 + 4 + 630 + 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 79 ways as a sum of consecutive naturals, for example, 21155854 + ... + 21155954.

Almost surely, 2^2136746304 is an apocalyptic number.

2136746304 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 2136746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062788928).

2136746304 is an abundant number, since it is smaller than the sum of its proper divisors (5988831552).

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

2136746304 is a wasteful number, since it uses less digits than its factorization.

2136746304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2136746304 is about 46224.9532611987. The cubic root of 2136746304 is about 1288.0053109872.

The spelling of 2136746304 in words is "two billion, one hundred thirty-six million, seven hundred forty-six thousand, three hundred four".