2136880980 has 384 divisors, whose sum is σ = 7757836800. Its totient is φ = 483729408.

The previous prime is 2136880973. The next prime is 2136881003. The reversal of 2136880980 is 890886312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4934844 + ... + 4935276.

It is an arithmetic number, because the mean of its divisors is an integer number (20202700).

Almost surely, 2^2136880980 is an apocalyptic number.

2136880980 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 2136880980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878918400).

2136880980 is an abundant number, since it is smaller than the sum of its proper divisors (5620955820).

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

2136880980 is a wasteful number, since it uses less digits than its factorization.

2136880980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2136880980 is about 46226.4099839042. The cubic root of 2136880980 is about 1288.0323707835.

The spelling of 2136880980 in words is "two billion, one hundred thirty-six million, eight hundred eighty thousand, nine hundred eighty".