2257117650 has 288 divisors, whose sum is σ = 6756317568. Its totient is φ = 558835200.

The previous prime is 2257117637. The next prime is 2257117699. The reversal of 2257117650 is 567117522.

2257117650 is a `hidden beast` number, since 22 + 571 + 1 + 7 + 65 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 11457352 + ... + 11457548.

It is an arithmetic number, because the mean of its divisors is an integer number (23459436).

Almost surely, 2^2257117650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257117650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378158784).

2257117650 is an abundant number, since it is smaller than the sum of its proper divisors (4499199918).

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

2257117650 is a wasteful number, since it uses less digits than its factorization.

2257117650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 2257117650 is about 47509.1322800154. The cubic root of 2257117650 is about 1311.7509848796.

The spelling of 2257117650 in words is "two billion, two hundred fifty-seven million, one hundred seventeen thousand, six hundred fifty".