2742332688001 has 3 divisors (see below), whose sum is σ = 2742334344001. Its totient is φ = 2742331032002.

The previous prime is 2742332687999. The next prime is 2742332688041. The reversal of 2742332688001 is 1008862332472.

The square root of 2742332688001 is 1655999.

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

2742332688001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 2742332688001 - 2¹ = 2742332687999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2742332688041) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 828000 + ... + 2483998.

Almost surely, 2^{2742332688001} is an apocalyptic number.

2742332688001 is the 1655999-th square number.

2742332688001 is the 828000-th centered octagonal number.

It is an amenable number.

2742332688001 is a deficient number, since it is larger than the sum of its proper divisors (1656000).

2742332688001 is an frugal number, since it uses more digits than its factorization.

2742332688001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3311998 (or 1655999 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 2742332688001 in words is "two trillion, seven hundred forty-two billion, three hundred thirty-two million, six hundred eighty-eight thousand, one".