2130114400 has 72 divisors (see below), whose sum is σ = 5230540224. Its totient is φ = 847065600.

The previous prime is 2130114391. The next prime is 2130114403. The reversal of 2130114400 is 44110312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130114403) 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, 130705 + ... + 146095.

It is an arithmetic number, because the mean of its divisors is an integer number (72646392).

Almost surely, 2^2130114400 is an apocalyptic number.

2130114400 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 2130114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615270112).

2130114400 is an abundant number, since it is smaller than the sum of its proper divisors (3100425824).

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

2130114400 is a wasteful number, since it uses less digits than its factorization.

2130114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15584 (or 15571 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2130114400 is about 46153.1624051917. The cubic root of 2130114400 is about 1286.6713856426.

Adding to 2130114400 its reverse (44110312), we get a palindrome (2174224712).

The spelling of 2130114400 in words is "two billion, one hundred thirty million, one hundred fourteen thousand, four hundred".