2756842300800 has 3072 divisors, whose sum is σ = 12822036480000. Its totient is φ = 564350976000.

The previous prime is 2756842300799. The next prime is 2756842300841. The reversal of 2756842300800 is 80032486572.

2756842300800 is a `hidden beast` number, since 2 + 7 + 568 + 4 + 2 + 3 + 0 + 0 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25292131146 + ... + 25292131254.

It is an arithmetic number, because the mean of its divisors is an integer number (4173840000).

Almost surely, 2^{2756842300800} is an apocalyptic number.

2756842300800 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 2756842300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411018240000).

2756842300800 is an abundant number, since it is smaller than the sum of its proper divisors (10065194179200).

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

2756842300800 is a wasteful number, since it uses less digits than its factorization.

2756842300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2756842300800 in words is "two trillion, seven hundred fifty-six billion, eight hundred forty-two million, three hundred thousand, eight hundred".