2755468800 has 960 divisors, whose sum is σ = 12421347840. Its totient is φ = 583925760.

The previous prime is 2755468789. The next prime is 2755468801. The reversal of 2755468800 is 88645572.

2755468800 is a `hidden beast` number, since 27 + 5 + 546 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2755468801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41126367 + ... + 41126433.

It is an arithmetic number, because the mean of its divisors is an integer number (12938904).

Almost surely, 2^2755468800 is an apocalyptic number.

2755468800 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 2755468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210673920).

2755468800 is an abundant number, since it is smaller than the sum of its proper divisors (9665879040).

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

2755468800 is a wasteful number, since it uses less digits than its factorization.

2755468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2755468800 is about 52492.5594727481. The cubic root of 2755468800 is about 1401.9477650846.

The spelling of 2755468800 in words is "two billion, seven hundred fifty-five million, four hundred sixty-eight thousand, eight hundred".