2139496800 has 576 divisors, whose sum is σ = 8549452800. Its totient is φ = 463626240.

The previous prime is 2139496787. The next prime is 2139496829. The reversal of 2139496800 is 86949312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18933544 + ... + 18933656.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^2139496800 is an apocalyptic number.

2139496800 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 2139496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

2139496800 is an abundant number, since it is smaller than the sum of its proper divisors (6409956000).

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

2139496800 is a wasteful number, since it uses less digits than its factorization.

2139496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 2139496800 is about 46254.6948968426. The cubic root of 2139496800 is about 1288.5577294717.

The spelling of 2139496800 in words is "two billion, one hundred thirty-nine million, four hundred ninety-six thousand, eight hundred".