2745942633504 has 144 divisors (see below), whose sum is σ = 9092697187392. Its totient is φ = 769752082944.

The previous prime is 2745942633479. The next prime is 2745942633523. The reversal of 2745942633504 is 4053362495472.

2745942633504 is a `hidden beast` number, since 2 + 7 + 45 + 94 + 2 + 6 + 3 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12742914 + ... + 12956609.

It is an arithmetic number, because the mean of its divisors is an integer number (63143730468).

Almost surely, 2^{2745942633504} is an apocalyptic number.

2745942633504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2745942633504 is an abundant number, since it is smaller than the sum of its proper divisors (6346754553888).

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

2745942633504 is a wasteful number, since it uses less digits than its factorization.

2745942633504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25699599 (or 25699588 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

It can be divided in two parts, 2745 and 942633504, that added together give a palindrome (942636249).

The spelling of 2745942633504 in words is "two trillion, seven hundred forty-five billion, nine hundred forty-two million, six hundred thirty-three thousand, five hundred four".