2257123827 has 16 divisors (see below), whose sum is σ = 3449018880. Its totient is φ = 1286188032.

The previous prime is 2257123823. The next prime is 2257123871. The reversal of 2257123827 is 7283217522.

It is not a de Polignac number, because 2257123827 - 2² = 2257123823 is a prime.

It is a super-2 number, since 2×2257123827² = 10189215940822251858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2257123823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142158 + ... + 157235.

It is an arithmetic number, because the mean of its divisors is an integer number (215563680).

Almost surely, 2^2257123827 is an apocalyptic number.

2257123827 is a deficient number, since it is larger than the sum of its proper divisors (1191895053).

2257123827 is a wasteful number, since it uses less digits than its factorization.

2257123827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299762.

The product of its digits is 94080, while the sum is 39.

The square root of 2257123827 is about 47509.1972885251. The cubic root of 2257123827 is about 1311.7521814911.

The spelling of 2257123827 in words is "two billion, two hundred fifty-seven million, one hundred twenty-three thousand, eight hundred twenty-seven".