2272984400164 has 9 divisors (see below), whose sum is σ = 3977727977041. Its totient is φ = 1136490692440.

The previous prime is 2272984400153. The next prime is 2272984400171. The reversal of 2272984400164 is 4610044892722.

It is a happy number.

The square root of 2272984400164 is 1507642.

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

It can be written as a sum of positive squares in only one way, i.e., 1261672590564 + 1011311809600 = 1123242^2 + 1005640^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2638374 + ... + 3392194.

Almost surely, 2^{2272984400164} is an apocalyptic number.

2272984400164 is the 1507642-nd square number.

It is an amenable number.

2272984400164 is a deficient number, since it is larger than the sum of its proper divisors (1704743576877).

2272984400164 is an frugal number, since it uses more digits than its factorization.

2272984400164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507646 (or 753823 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 2272984400164 by its sum of digits (49), we get a square (111376235608036 = 10553494²).

The spelling of 2272984400164 in words is "two trillion, two hundred seventy-two billion, nine hundred eighty-four million, four hundred thousand, one hundred sixty-four".