2139130400 has 288 divisors, whose sum is σ = 6142106880. Its totient is φ = 718848000.

The previous prime is 2139130391. The next prime is 2139130421. The reversal of 2139130400 is 40319312.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11818310 + ... + 11818490.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 2^2139130400 is an apocalyptic number.

2139130400 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 2139130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071053440).

2139130400 is an abundant number, since it is smaller than the sum of its proper divisors (4002976480).

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

2139130400 is a wasteful number, since it uses less digits than its factorization.

2139130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2139130400 is about 46250.7340482289. The cubic root of 2139130400 is about 1288.4841678589.

Adding to 2139130400 its reverse (40319312), we get a palindrome (2179449712).

The spelling of 2139130400 in words is "two billion, one hundred thirty-nine million, one hundred thirty thousand, four hundred".