2749228800 has 324 divisors, whose sum is σ = 9438067800. Its totient is φ = 704716800.

The previous prime is 2749228799. The next prime is 2749228849. The reversal of 2749228800 is 88229472.

2749228800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18451126 + ... + 18451274.

Almost surely, 2^2749228800 is an apocalyptic number.

2749228800 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 2749228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719033900).

2749228800 is an abundant number, since it is smaller than the sum of its proper divisors (6688839000).

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

2749228800 is a wasteful number, since it uses less digits than its factorization.

2749228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2749228800 is about 52433.0887894276. The cubic root of 2749228800 is about 1400.8886874632. Note that the first 3 decimals are identical.

The spelling of 2749228800 in words is "two billion, seven hundred forty-nine million, two hundred twenty-eight thousand, eight hundred".