2745334335472 has 80 divisors (see below), whose sum is σ = 5567403663360. Its totient is φ = 1309832640000.

The previous prime is 2745334335431. The next prime is 2745334335481.

2745334335472 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2745334335472² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172016229 + ... + 172032187.

It is an arithmetic number, because the mean of its divisors is an integer number (69592545792).

Almost surely, 2^{2745334335472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2745334335472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783701831680).

2745334335472 is an abundant number, since it is smaller than the sum of its proper divisors (2822069327888).

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

2745334335472 is a wasteful number, since it uses less digits than its factorization.

2745334335472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20822 (or 20816 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 52.

The spelling of 2745334335472 in words is "two trillion, seven hundred forty-five billion, three hundred thirty-four million, three hundred thirty-five thousand, four hundred seventy-two".