2257082910 has 96 divisors (see below), whose sum is σ = 6052239648. Its totient is φ = 583315200.

The previous prime is 2257082909. The next prime is 2257082929. The reversal of 2257082910 is 192807522.

2257082910 is a `hidden beast` number, since 2 + 2 + 570 + 82 + 9 + 1 + 0 = 666.

It is a super-2 number, since 2×2257082910² = 10188846525228136200, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 393060 + ... + 398760.

It is an arithmetic number, because the mean of its divisors is an integer number (63044163).

Almost surely, 2^2257082910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257082910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026119824).

2257082910 is an abundant number, since it is smaller than the sum of its proper divisors (3795156738).

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

2257082910 is a wasteful number, since it uses less digits than its factorization.

2257082910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2257082910 is about 47508.7666646904. The cubic root of 2257082910 is about 1311.7442549892.

The spelling of 2257082910 in words is "two billion, two hundred fifty-seven million, eighty-two thousand, nine hundred ten".