2667152792164 has 243 divisors, whose sum is σ = 5799883697433. Its totient is φ = 1070034638400.

The previous prime is 2667152792153. The next prime is 2667152792177. The reversal of 2667152792164 is 4612972517662.

The square root of 2667152792164 is 1633142.

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., 1922742756900 + 744410035264 = 1386630^2 + 862792^2 .

It is a super-2 number, since 2×2667152792164² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2667152792099 and 2667152792108.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37565532249 + ... + 37565532319.

Almost surely, 2^{2667152792164} is an apocalyptic number.

2667152792164 is the 1633142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667152792164

2667152792164 is an abundant number, since it is smaller than the sum of its proper divisors (3132730905269).

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

2667152792164 is an equidigital number, since it uses as much as digits as its factorization.

2667152792164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 164 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 58.

The spelling of 2667152792164 in words is "two trillion, six hundred sixty-seven billion, one hundred fifty-two million, seven hundred ninety-two thousand, one hundred sixty-four".