2257631838 has 384 divisors, whose sum is σ = 6863560704. Its totient is φ = 538876800.

The previous prime is 2257631771. The next prime is 2257631863. The reversal of 2257631838 is 8381367522.

2257631838 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 631 + 8 + 3 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2257631793 and 2257631802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37010328 + ... + 37010388.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^2257631838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257631838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431780352).

2257631838 is an abundant number, since it is smaller than the sum of its proper divisors (4605928866).

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

2257631838 is a wasteful number, since it uses less digits than its factorization.

2257631838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 2257631838 is about 47514.5434367205. The cubic root of 2257631838 is about 1311.8505861571.

The spelling of 2257631838 in words is "two billion, two hundred fifty-seven million, six hundred thirty-one thousand, eight hundred thirty-eight".