2113446400 has 180 divisors, whose sum is σ = 5675802462. Its totient is φ = 779550720.

The previous prime is 2113446371. The next prime is 2113446403. The reversal of 2113446400 is 46443112.

It can be written as a sum of positive squares in 9 ways, for example, as 32626944 + 2080819456 = 5712^2 + 45616^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2113446403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2162712 + ... + 2163688.

Almost surely, 2^2113446400 is an apocalyptic number.

2113446400 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 2113446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837901231).

2113446400 is an abundant number, since it is smaller than the sum of its proper divisors (3562356062).

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

2113446400 is an equidigital number, since it uses as much as digits as its factorization.

2113446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2113446400 is about 45972.2350990247. The cubic root of 2113446400 is about 1283.3065551655.

Adding to 2113446400 its reverse (46443112), we get a palindrome (2159889512).

The spelling of 2113446400 in words is "two billion, one hundred thirteen million, four hundred forty-six thousand, four hundred".