2755904800 has 144 divisors (see below), whose sum is σ = 7593264000. Its totient is φ = 967500800.

The previous prime is 2755904779. The next prime is 2755904803. The reversal of 2755904800 is 84095572.

It is a super-2 number, since 2×2755904800² = 15190022533326080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2755904803) 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 23 ways as a sum of consecutive naturals, for example, 249801 + ... + 260599.

It is an arithmetic number, because the mean of its divisors is an integer number (52731000).

Almost surely, 2^2755904800 is an apocalyptic number.

2755904800 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 2755904800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796632000).

2755904800 is an abundant number, since it is smaller than the sum of its proper divisors (4837359200).

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

2755904800 is a wasteful number, since it uses less digits than its factorization.

2755904800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10859 (or 10846 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 2755904800 is about 52496.7122780084. The cubic root of 2755904800 is about 1402.0217049515.

The spelling of 2755904800 in words is "two billion, seven hundred fifty-five million, nine hundred four thousand, eight hundred".