2257764800 has 84 divisors (see below), whose sum is σ = 5649909960. Its totient is φ = 887761920.

The previous prime is 2257764799. The next prime is 2257764823. The reversal of 2257764800 is 84677522.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 82442 + ... + 106358.

Almost surely, 2^2257764800 is an apocalyptic number.

2257764800 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 2257764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2824954980).

2257764800 is an abundant number, since it is smaller than the sum of its proper divisors (3392145160).

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

2257764800 is a wasteful number, since it uses less digits than its factorization.

2257764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23998 (or 23983 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The square root of 2257764800 is about 47515.9425877252. The cubic root of 2257764800 is about 1311.8763392273.

The spelling of 2257764800 in words is "two billion, two hundred fifty-seven million, seven hundred sixty-four thousand, eight hundred".