2251628400 has 360 divisors, whose sum is σ = 8479479600. Its totient is φ = 509214720.

The previous prime is 2251628333. The next prime is 2251628419. The reversal of 2251628400 is 48261522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8761072 + ... + 8761328.

It is an arithmetic number, because the mean of its divisors is an integer number (23554110).

Almost surely, 2^2251628400 is an apocalyptic number.

2251628400 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 2251628400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239739800).

2251628400 is an abundant number, since it is smaller than the sum of its proper divisors (6227851200).

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

2251628400 is a wasteful number, since it uses less digits than its factorization.

2251628400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2251628400 is about 47451.3266410961. The cubic root of 2251628400 is about 1310.6867405238.

Adding to 2251628400 its reverse (48261522), we get a palindrome (2299889922).

The spelling of 2251628400 in words is "two billion, two hundred fifty-one million, six hundred twenty-eight thousand, four hundred".