2257430850 has 384 divisors, whose sum is σ = 7199539200. Its totient is φ = 516326400.

The previous prime is 2257430837. The next prime is 2257430863. The reversal of 2257430850 is 580347522.

2257430850 is a `hidden beast` number, since 2 + 2 + 574 + 3 + 0 + 85 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2257430837) and next prime (2257430863).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13517467 + ... + 13517633.

It is an arithmetic number, because the mean of its divisors is an integer number (18748800).

Almost surely, 2^2257430850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257430850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599769600).

2257430850 is an abundant number, since it is smaller than the sum of its proper divisors (4942108350).

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

2257430850 is a wasteful number, since it uses less digits than its factorization.

2257430850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2257430850 is about 47512.4283740581. The cubic root of 2257430850 is about 1311.8116553852.

The spelling of 2257430850 in words is "two billion, two hundred fifty-seven million, four hundred thirty thousand, eight hundred fifty".