2136640000 has 200 divisors, whose sum is σ = 5829234048. Its totient is φ = 775680000.

The previous prime is 2136639979. The next prime is 2136640031. The reversal of 2136640000 is 466312.

It is a tau number, because it is divible by the number of its divisors (200).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 3519697 + ... + 3520303.

Almost surely, 2^2136640000 is an apocalyptic number.

2136640000 is a gapful number since it is divisible by the number (20) 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 2136640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914617024).

2136640000 is an abundant number, since it is smaller than the sum of its proper divisors (3692594048).

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

2136640000 is an frugal number, since it uses more digits than its factorization.

2136640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 2136640000 is about 46223.8033917591. The cubic root of 2136640000 is about 1287.9839510365.

The spelling of 2136640000 in words is "two billion, one hundred thirty-six million, six hundred forty thousand".