2755430092800 has 2808 divisors, whose sum is σ = 13151198314080. Its totient is φ = 559241625600.

The previous prime is 2755430092781. The next prime is 2755430092859. The reversal of 2755430092800 is 82900345572.

2755430092800 is a `hidden beast` number, since 2 + 7 + 55 + 430 + 0 + 92 + 80 + 0 = 666.

It is a super-2 number, since 2×2755430092800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 64079769579 + ... + 64079769621.

Almost surely, 2^{2755430092800} is an apocalyptic number.

2755430092800 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 2755430092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575599157040).

2755430092800 is an abundant number, since it is smaller than the sum of its proper divisors (10395768221280).

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

2755430092800 is a wasteful number, since it uses less digits than its factorization.

2755430092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2755430092800 in words is "two trillion, seven hundred fifty-five billion, four hundred thirty million, ninety-two thousand, eight hundred".