2745428245472 has 72 divisors (see below), whose sum is σ = 5943208813416. Its totient is φ = 1247479200000.

The previous prime is 2745428245451. The next prime is 2745428245481.

2745428245472 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2745428245472³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10914722 + ... + 11163422.

It is an arithmetic number, because the mean of its divisors is an integer number (82544566853).

Almost surely, 2^{2745428245472} is an apocalyptic number.

2745428245472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2745428245472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971604406708).

2745428245472 is an abundant number, since it is smaller than the sum of its proper divisors (3197780567944).

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

2745428245472 is a wasteful number, since it uses less digits than its factorization.

2745428245472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251584 (or 251565 counting only the distinct ones).

The product of its digits is 40140800, while the sum is 56.

The spelling of 2745428245472 in words is "two trillion, seven hundred forty-five billion, four hundred twenty-eight million, two hundred forty-five thousand, four hundred seventy-two".