2745590400000 has 792 divisors, whose sum is σ = 11325581991360. Its totient is φ = 627517440000.

The previous prime is 2745590399971. The next prime is 2745590400017. The reversal of 2745590400000 is 40955472.

2745590400000 is a `hidden beast` number, since 27 + 4 + 5 + 590 + 40 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 201593191 + ... + 201606809.

Almost surely, 2^{2745590400000} is an apocalyptic number.

2745590400000 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 2745590400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5662790995680).

2745590400000 is an abundant number, since it is smaller than the sum of its proper divisors (8579991591360).

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

2745590400000 is an equidigital number, since it uses as much as digits as its factorization.

2745590400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13677 (or 13636 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 2745590400000 in words is "two trillion, seven hundred forty-five billion, five hundred ninety million, four hundred thousand".