2182664961 has 45 divisors (see below), whose sum is σ = 3395803411. Its totient is φ = 1397084976.

The previous prime is 2182664893. The next prime is 2182664977. The reversal of 2182664961 is 1694662812.

The square root of 2182664961 is 46719.

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

2182664961 is a `hidden beast` number, since 21 + 82 + 66 + 496 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1144536561 + 1038128400 = 33831^2 + 32220^2 .

It is not a de Polignac number, because 2182664961 - 2¹³ = 2182656769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2182664261) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12193570 + ... + 12193748.

Almost surely, 2^2182664961 is an apocalyptic number.

2182664961 is the 46719-th square number.

2182664961 is the 23360-th centered octagonal number.

It is an amenable number.

2182664961 is a deficient number, since it is larger than the sum of its proper divisors (1213138450).

2182664961 is an frugal number, since it uses more digits than its factorization.

2182664961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 211 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 2182664961 is about 1297.1664042641.

The spelling of 2182664961 in words is "two billion, one hundred eighty-two million, six hundred sixty-four thousand, nine hundred sixty-one".