2227768400 has 480 divisors, whose sum is σ = 6974553600. Its totient is φ = 670924800.

The previous prime is 2227768391. The next prime is 2227768441. The reversal of 2227768400 is 48677222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28199561 + ... + 28199639.

It is an arithmetic number, because the mean of its divisors is an integer number (14530320).

Almost surely, 2^2227768400 is an apocalyptic number.

2227768400 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 2227768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487276800).

2227768400 is an abundant number, since it is smaller than the sum of its proper divisors (4746785200).

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

2227768400 is a wasteful number, since it uses less digits than its factorization.

2227768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 2227768400 is about 47199.2415193295. The cubic root of 2227768400 is about 1306.0406060730.

The spelling of 2227768400 in words is "two billion, two hundred twenty-seven million, seven hundred sixty-eight thousand, four hundred".