2933026161664 has 99 divisors (see below), whose sum is σ = 5929548672621. Its totient is φ = 1450099445760.

The previous prime is 2933026161661. The next prime is 2933026161671. The reversal of 2933026161664 is 4661616203392.

The square root of 2933026161664 is 1712608.

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., 2044305163264 + 888720998400 = 1429792^2 + 942720^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2933026161661) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5973576459 + ... + 5973576949.

Almost surely, 2^{2933026161664} is an apocalyptic number.

2933026161664 is the 1712608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2933026161664

2933026161664 is an abundant number, since it is smaller than the sum of its proper divisors (2996522510957).

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

2933026161664 is an frugal number, since it uses more digits than its factorization.

2933026161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 49.

Multiplying 2933026161664 by its sum of digits (49), we get a square (143718281921536 = 11988256²).

The spelling of 2933026161664 in words is "two trillion, nine hundred thirty-three billion, twenty-six million, one hundred sixty-one thousand, six hundred sixty-four".