2251110400 has 288 divisors, whose sum is σ = 6970803840. Its totient is φ = 700416000.

The previous prime is 2251110397. The next prime is 2251110409. The reversal of 2251110400 is 40111522.

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 (2251110409) 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, 3942115 + ... + 3942685.

It is an arithmetic number, because the mean of its divisors is an integer number (24204180).

Almost surely, 2^2251110400 is an apocalyptic number.

2251110400 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 2251110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3485401920).

2251110400 is an abundant number, since it is smaller than the sum of its proper divisors (4719693440).

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

2251110400 is a wasteful number, since it uses less digits than its factorization.

2251110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2251110400 is about 47445.8681025018. The cubic root of 2251110400 is about 1310.5862224865.

Adding to 2251110400 its reverse (40111522), we get a palindrome (2291221922).

The spelling of 2251110400 in words is "two billion, two hundred fifty-one million, one hundred ten thousand, four hundred".