2139068800 has 192 divisors, whose sum is σ = 5857035840. Its totient is φ = 765388800.

The previous prime is 2139068791. The next prime is 2139068803. The reversal of 2139068800 is 88609312.

It is a super-2 number, since 2×2139068800² = 9151230662266880000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2139068800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139068803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2357947 + ... + 2358853.

It is an arithmetic number, because the mean of its divisors is an integer number (30505395).

Almost surely, 2^2139068800 is an apocalyptic number.

2139068800 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 2139068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928517920).

2139068800 is an abundant number, since it is smaller than the sum of its proper divisors (3717967040).

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

2139068800 is a wasteful number, since it uses less digits than its factorization.

2139068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 2139068800 is about 46250.0681080580. The cubic root of 2139068800 is about 1288.4717996887.

The spelling of 2139068800 in words is "two billion, one hundred thirty-nine million, sixty-eight thousand, eight hundred".