2139724400 has 240 divisors, whose sum is σ = 5957431200. Its totient is φ = 731136000.

The previous prime is 2139724399. The next prime is 2139724409. The reversal of 2139724400 is 44279312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139724409) 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 47 ways as a sum of consecutive naturals, for example, 5231396 + ... + 5231804.

It is an arithmetic number, because the mean of its divisors is an integer number (24822630).

Almost surely, 2^2139724400 is an apocalyptic number.

2139724400 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 2139724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2978715600).

2139724400 is an abundant number, since it is smaller than the sum of its proper divisors (3817706800).

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

2139724400 is a wasteful number, since it uses less digits than its factorization.

2139724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 2139724400 is about 46257.1551222079. The cubic root of 2139724400 is about 1288.6034201750.

The spelling of 2139724400 in words is "two billion, one hundred thirty-nine million, seven hundred twenty-four thousand, four hundred".