2745753292800 has 2340 divisors, whose sum is σ = 12361548694176. Its totient is φ = 590030438400.

The previous prime is 2745753292747. The next prime is 2745753292847. The reversal of 2745753292800 is 82923575472.

2745753292800 is a `hidden beast` number, since 27 + 4 + 5 + 7 + 532 + 9 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×2745753292800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 20959948735 + ... + 20959948865.

Almost surely, 2^{2745753292800} is an apocalyptic number.

2745753292800 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 2745753292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180774347088).

2745753292800 is an abundant number, since it is smaller than the sum of its proper divisors (9615795401376).

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

2745753292800 is a wasteful number, since it uses less digits than its factorization.

2745753292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 2745753292800 in words is "two trillion, seven hundred forty-five billion, seven hundred fifty-three million, two hundred ninety-two thousand, eight hundred".