2242780164 has 63 divisors (see below), whose sum is σ = 5891323557. Its totient is φ = 746740944.

The previous prime is 2242780079. The next prime is 2242780207. The reversal of 2242780164 is 4610872422.

The square root of 2242780164 is 47358.

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

2242780164 is a `hidden beast` number, since 224 + 278 + 0 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1889640900 + 353139264 = 43470^2 + 18792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2556894 + ... + 2557770.

Almost surely, 2^2242780164 is an apocalyptic number.

2242780164 is the 47358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242780164

2242780164 is an abundant number, since it is smaller than the sum of its proper divisors (3648543393).

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

2242780164 is an frugal number, since it uses more digits than its factorization.

2242780164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The cubic root of 2242780164 is about 1308.9676158031.

Multiplying 2242780164 by its sum of digits (36), we get a square (80740085904 = 284148²).

2242780164 divided by its sum of digits (36) gives a square (62299449 = 7893²).

The spelling of 2242780164 in words is "two billion, two hundred forty-two million, seven hundred eighty thousand, one hundred sixty-four".