2130110400 has 168 divisors, whose sum is σ = 7624047744. Its totient is φ = 516377600.

The previous prime is 2130110399. The next prime is 2130110401. The reversal of 2130110400 is 40110312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2130110399) and next prime (2130110401).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130110401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32629 + ... + 72971.

Almost surely, 2^2130110400 is an apocalyptic number.

2130110400 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 2130110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812023872).

2130110400 is an abundant number, since it is smaller than the sum of its proper divisors (5493937344).

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

2130110400 is a wasteful number, since it uses less digits than its factorization.

2130110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40379 (or 40364 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2130110400 is about 46153.1190711960. The cubic root of 2130110400 is about 1286.6705802572.

Adding to 2130110400 its reverse (40110312), we get a palindrome (2170220712).

The spelling of 2130110400 in words is "two billion, one hundred thirty million, one hundred ten thousand, four hundred".