2251314200 has 48 divisors (see below), whose sum is σ = 5263308960. Its totient is φ = 895536000.

The previous prime is 2251314187. The next prime is 2251314211. The reversal of 2251314200 is 24131522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5105 + ... + 67295.

It is an arithmetic number, because the mean of its divisors is an integer number (109652270).

Almost surely, 2^2251314200 is an apocalyptic number.

2251314200 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 2251314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631654480).

2251314200 is an abundant number, since it is smaller than the sum of its proper divisors (3011994760).

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

2251314200 is a wasteful number, since it uses less digits than its factorization.

2251314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62388 (or 62379 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2251314200 is about 47448.0157646239. The cubic root of 2251314200 is about 1310.6257717703.

Adding to 2251314200 its reverse (24131522), we get a palindrome (2275445722).

The spelling of 2251314200 in words is "two billion, two hundred fifty-one million, three hundred fourteen thousand, two hundred".