2257330600 has 96 divisors (see below), whose sum is σ = 6019614720. Its totient is φ = 771160320.

The previous prime is 2257330591. The next prime is 2257330613. The reversal of 2257330600 is 60337522.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 23 ways as a sum of consecutive naturals, for example, 407449 + ... + 412951.

It is an arithmetic number, because the mean of its divisors is an integer number (62704320).

Almost surely, 2^2257330600 is an apocalyptic number.

2257330600 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 2257330600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009807360).

2257330600 is an abundant number, since it is smaller than the sum of its proper divisors (3762284120).

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

2257330600 is a wasteful number, since it uses less digits than its factorization.

2257330600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 2257330600 is about 47511.3733752246. The cubic root of 2257330600 is about 1311.7922363976.

The spelling of 2257330600 in words is "two billion, two hundred fifty-seven million, three hundred thirty thousand, six hundred".