2745198593280 has 1296 divisors, whose sum is σ = 11314909766160. Its totient is φ = 610397061120.

The previous prime is 2745198593279. The next prime is 2745198593287. The reversal of 2745198593280 is 823958915472.

2745198593280 is a `hidden beast` number, since 2 + 7 + 4 + 5 + 19 + 8 + 593 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 278784 + 2745198314496 = 528^2 + 1656864^2 .

It is a super-2 number, since 2×2745198593280² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745198593287) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3569828736 + ... + 3569829504.

Almost surely, 2^{2745198593280} is an apocalyptic number.

2745198593280 is a gapful number since it is divisible by the number (20) 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 2745198593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5657454883080).

2745198593280 is an abundant number, since it is smaller than the sum of its proper divisors (8569711172880).

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

2745198593280 is a wasteful number, since it uses less digits than its factorization.

2745198593280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 2745198593280 in words is "two trillion, seven hundred forty-five billion, one hundred ninety-eight million, five hundred ninety-three thousand, two hundred eighty".