2745782349120 has 896 divisors, whose sum is σ = 10603084915200. Its totient is φ = 674802524160.

The previous prime is 2745782349103. The next prime is 2745782349127. The reversal of 2745782349120 is 219432875472.

2745782349120 is a `hidden beast` number, since 2 + 7 + 4 + 57 + 82 + 3 + 491 + 20 = 666.

2745782349120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2745782349127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 491984730 + ... + 491990310.

Almost surely, 2^{2745782349120} is an apocalyptic number.

2745782349120 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 2745782349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5301542457600).

2745782349120 is an abundant number, since it is smaller than the sum of its proper divisors (7857302566080).

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

2745782349120 is an equidigital number, since it uses as much as digits as its factorization.

2745782349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5647 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2745782349120 in words is "two trillion, seven hundred forty-five billion, seven hundred eighty-two million, three hundred forty-nine thousand, one hundred twenty".