2632087661641 has 9 divisors (see below), whose sum is σ = 2637242264839. Its totient is φ = 2626943123200.

The previous prime is 2632087661629. The next prime is 2632087661689. The reversal of 2632087661641 is 1461667802362.

The square root of 2632087661641 is 1622371.

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., 2375849221641 + 256238440000 = 1541379^2 + 506200^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2632087661641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2632087661141) 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, 1039938546 + ... + 1039941076.

Almost surely, 2^{2632087661641} is an apocalyptic number.

2632087661641 is the 1622371-st square number.

2632087661641 is the 811186-th centered octagonal number.

It is an amenable number.

2632087661641 is a deficient number, since it is larger than the sum of its proper divisors (5154603198).

2632087661641 is an frugal number, since it uses more digits than its factorization.

2632087661641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 2632087661641 in words is "two trillion, six hundred thirty-two billion, eighty-seven million, six hundred sixty-one thousand, six hundred forty-one".