2139800960 has 256 divisors, whose sum is σ = 5922201600. Its totient is φ = 731996160.

The previous prime is 2139800953. The next prime is 2139800969. The reversal of 2139800960 is 690089312.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139800969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9595409 + ... + 9595631.

It is an arithmetic number, because the mean of its divisors is an integer number (23133600).

Almost surely, 2^2139800960 is an apocalyptic number.

2139800960 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 2139800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2961100800).

2139800960 is an abundant number, since it is smaller than the sum of its proper divisors (3782400640).

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

2139800960 is a wasteful number, since it uses less digits than its factorization.

2139800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 2139800960 is about 46257.9826624551. The cubic root of 2139800960 is about 1288.6187888679.

The spelling of 2139800960 in words is "two billion, one hundred thirty-nine million, eight hundred thousand, nine hundred sixty".