2666146871556 has 135 divisors (see below), whose sum is σ = 8108392438839. Its totient is φ = 761697466992.

The previous prime is 2666146871527. The next prime is 2666146871699. The reversal of 2666146871556 is 6551786416662.

It is a happy number.

The square root of 2666146871556 is 1632834.

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

It is a super-2 number, since 2×2666146871556² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 2666146871493 and 2666146871502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 205730605 + ... + 205743563.

Almost surely, 2^{2666146871556} is an apocalyptic number.

2666146871556 is the 1632834-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2666146871556

2666146871556 is an abundant number, since it is smaller than the sum of its proper divisors (5442245567283).

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

2666146871556 is an frugal number, since it uses more digits than its factorization.

2666146871556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25948 (or 12971 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 2666146871556 in words is "two trillion, six hundred sixty-six billion, one hundred forty-six million, eight hundred seventy-one thousand, five hundred fifty-six".