2753116800 has 384 divisors, whose sum is σ = 10572716160. Its totient is φ = 616611840.

The previous prime is 2753116783. The next prime is 2753116801. The reversal of 2753116800 is 86113572.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2753116800² = 15159304228884480000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2753116801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3561214 + ... + 3561986.

It is an arithmetic number, because the mean of its divisors is an integer number (27533115).

Almost surely, 2^2753116800 is an apocalyptic number.

2753116800 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 2753116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286358080).

2753116800 is an abundant number, since it is smaller than the sum of its proper divisors (7819599360).

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

2753116800 is a wasteful number, since it uses less digits than its factorization.

2753116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 2753116800 is about 52470.1515149328. The cubic root of 2753116800 is about 1401.5487622269.

The spelling of 2753116800 in words is "two billion, seven hundred fifty-three million, one hundred sixteen thousand, eight hundred".