2749420800 has 432 divisors, whose sum is σ = 11527178880. Its totient is φ = 628162560.

The previous prime is 2749420787. The next prime is 2749420801. The reversal of 2749420800 is 80249472.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749420801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1208464 + ... + 1210736.

Almost surely, 2^2749420800 is an apocalyptic number.

2749420800 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 2749420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5763589440).

2749420800 is an abundant number, since it is smaller than the sum of its proper divisors (8777758080).

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

2749420800 is a wasteful number, since it uses less digits than its factorization.

2749420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2749420800 is about 52434.9196623777. The cubic root of 2749420800 is about 1400.9212983499.

The spelling of 2749420800 in words is "two billion, seven hundred forty-nine million, four hundred twenty thousand, eight hundred".