2279764800 has 252 divisors, whose sum is σ = 8365841536. Its totient is φ = 588211200.

The previous prime is 2279764789. The next prime is 2279764801. The reversal of 2279764800 is 84679722.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (2279764801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 443847 + ... + 448953.

Almost surely, 2^2279764800 is an apocalyptic number.

2279764800 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 2279764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4182920768).

2279764800 is an abundant number, since it is smaller than the sum of its proper divisors (6086076736).

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

2279764800 is a wasteful number, since it uses less digits than its factorization.

2279764800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5148 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2279764800 is about 47746.8826207534. The cubic root of 2279764800 is about 1316.1236137553.

The spelling of 2279764800 in words is "two billion, two hundred seventy-nine million, seven hundred sixty-four thousand, eight hundred".