2192861584 has 45 divisors (see below), whose sum is σ = 4450168513. Its totient is φ = 1046699456.

The previous prime is 2192861581. The next prime is 2192861597. The reversal of 2192861584 is 4851682912.

The square root of 2192861584 is 46828.

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., 1783203984 + 409657600 = 42228^2 + 20240^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2192861581) 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, 4307922 + ... + 4308430.

Almost surely, 2^2192861584 is an apocalyptic number.

2192861584 is the 46828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2192861584

2192861584 is an abundant number, since it is smaller than the sum of its proper divisors (2257306929).

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

2192861584 is an frugal number, since it uses more digits than its factorization.

2192861584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 534 counting only the distinct ones).

The product of its digits is 276480, while the sum is 46.

The cubic root of 2192861584 is about 1299.1832313238.

The spelling of 2192861584 in words is "two billion, one hundred ninety-two million, eight hundred sixty-one thousand, five hundred eighty-four".