2136938760 has 320 divisors, whose sum is σ = 8298702720. Its totient is φ = 487434240.

The previous prime is 2136938693. The next prime is 2136938761. The reversal of 2136938760 is 678396312.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136938761) 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, 604117 + ... + 607643.

It is an arithmetic number, because the mean of its divisors is an integer number (25933446).

Almost surely, 2^2136938760 is an apocalyptic number.

2136938760 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 2136938760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149351360).

2136938760 is an abundant number, since it is smaller than the sum of its proper divisors (6161763960).

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

2136938760 is a wasteful number, since it uses less digits than its factorization.

2136938760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2136938760 is about 46227.0349470956. The cubic root of 2136938760 is about 1288.0439798904.

The spelling of 2136938760 in words is "two billion, one hundred thirty-six million, nine hundred thirty-eight thousand, seven hundred sixty".