2139318400 has 96 divisors (see below), whose sum is σ = 5467256100. Its totient is φ = 826183680.

The previous prime is 2139318331. The next prime is 2139318409. The reversal of 2139318400 is 48139312.

It can be written as a sum of positive squares in 6 ways, for example, as 1091113024 + 1048205376 = 33032^2 + 32376^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2139318409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81274 + ... + 104326.

Almost surely, 2^2139318400 is an apocalyptic number.

2139318400 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 2139318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733628050).

2139318400 is an abundant number, since it is smaller than the sum of its proper divisors (3327937700).

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

2139318400 is a wasteful number, since it uses less digits than its factorization.

2139318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23106 (or 23089 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2139318400 is about 46252.7664037515. The cubic root of 2139318400 is about 1288.5219134037.

It can be divided in two parts, 21393 and 18400, that added together give a palindrome (39793).

The spelling of 2139318400 in words is "two billion, one hundred thirty-nine million, three hundred eighteen thousand, four hundred".