2277198400 has 63 divisors (see below), whose sum is σ = 5608032091. Its totient is φ = 910115840.

The previous prime is 2277198383. The next prime is 2277198401. The reversal of 2277198400 is 48917722.

The square root of 2277198400 is 47720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 37258816 + 2239939584 = 6104^2 + 47328^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2277198401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1908204 + ... + 1909396.

Almost surely, 2^2277198400 is an apocalyptic number.

2277198400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2277198400 is the 47720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2277198400

2277198400 is an abundant number, since it is smaller than the sum of its proper divisors (3330833691).

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

2277198400 is an frugal number, since it uses more digits than its factorization.

2277198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The cubic root of 2277198400 is about 1315.6295616356.

The spelling of 2277198400 in words is "two billion, two hundred seventy-seven million, one hundred ninety-eight thousand, four hundred".