2164224137564 has 48 divisors (see below), whose sum is σ = 3992882493600. Its totient is φ = 1023577353216.

The previous prime is 2164224137561. The next prime is 2164224137609. The reversal of 2164224137564 is 4657314224612.

It is a super-2 number, since 2×2164224137564² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2164224137561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249646622 + ... + 249655290.

It is an arithmetic number, because the mean of its divisors is an integer number (83185051950).

Almost surely, 2^{2164224137564} is an apocalyptic number.

It is an amenable number.

2164224137564 is a deficient number, since it is larger than the sum of its proper divisors (1828658356036).

2164224137564 is a wasteful number, since it uses less digits than its factorization.

2164224137564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13382 (or 13380 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 47.

The spelling of 2164224137564 in words is "two trillion, one hundred sixty-four billion, two hundred twenty-four million, one hundred thirty-seven thousand, five hundred sixty-four".