2257085376 has 504 divisors, whose sum is σ = 8515197600. Its totient is φ = 556498944.

The previous prime is 2257085333. The next prime is 2257085377. The reversal of 2257085376 is 6735807522.

2257085376 is a `hidden beast` number, since 2 + 2 + 570 + 8 + 5 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×2257085376² = 10188868789106122752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257085377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15148150 + ... + 15148298.

Almost surely, 2^2257085376 is an apocalyptic number.

2257085376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257085376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257598800).

2257085376 is an abundant number, since it is smaller than the sum of its proper divisors (6258112224).

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

2257085376 is a wasteful number, since it uses less digits than its factorization.

2257085376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2257085376 is about 47508.7926177881. The cubic root of 2257085376 is about 1311.7447327091.

The spelling of 2257085376 in words is "two billion, two hundred fifty-seven million, eighty-five thousand, three hundred seventy-six".