2139967200 has 432 divisors, whose sum is σ = 8378463744. Its totient is φ = 472550400.

The previous prime is 2139967153. The next prime is 2139967201. The reversal of 2139967200 is 27699312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139967201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645307 + ... + 3645893.

It is an arithmetic number, because the mean of its divisors is an integer number (19394592).

Almost surely, 2^2139967200 is an apocalyptic number.

2139967200 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 2139967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189231872).

2139967200 is an abundant number, since it is smaller than the sum of its proper divisors (6238496544).

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

2139967200 is a wasteful number, since it uses less digits than its factorization.

2139967200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 2139967200 is about 46259.7795066081. The cubic root of 2139967200 is about 1288.6521587068.

The spelling of 2139967200 in words is "two billion, one hundred thirty-nine million, nine hundred sixty-seven thousand, two hundred".