2201486400 has 567 divisors, whose sum is σ = 8689049551. Its totient is φ = 528506880.

The previous prime is 2201486381. The next prime is 2201486447. The reversal of 2201486400 is 46841022.

The square root of 2201486400 is 46920.

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

2201486400 is a `hidden beast` number, since 2 + 2 + 0 + 14 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51494976 + 2149991424 = 7176^2 + 46368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 95716789 + ... + 95716811.

Almost surely, 2^2201486400 is an apocalyptic number.

2201486400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2201486400 is the 46920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201486400

2201486400 is an abundant number, since it is smaller than the sum of its proper divisors (6487563151).

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

2201486400 is a wasteful number, since it uses less digits than its factorization.

2201486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 2201486400 is about 1300.8842898681.

It can be divided in two parts, 2201 and 486400, that added together give a square (488601 = 699²).

The spelling of 2201486400 in words is "two billion, two hundred one million, four hundred eighty-six thousand, four hundred".