2257787664 has 60 divisors (see below), whose sum is σ = 6893098992. Its totient is φ = 684177600.

The previous prime is 2257787659. The next prime is 2257787669. The reversal of 2257787664 is 4667877522.

2257787664 is a `hidden beast` number, since 2 + 2 + 577 + 8 + 7 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2257787659) and next prime (2257787669).

It is a self number, because there is not a number n which added to its sum of digits gives 2257787664.

It is not an unprimeable number, because it can be changed into a prime (2257787669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 711102 + ... + 714269.

Almost surely, 2^2257787664 is an apocalyptic number.

2257787664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2257787664 is an abundant number, since it is smaller than the sum of its proper divisors (4635311328).

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

2257787664 is a wasteful number, since it uses less digits than its factorization.

2257787664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425396 (or 1425387 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 2257787664 is about 47516.1831800493. The cubic root of 2257787664 is about 1311.8807675952.

The spelling of 2257787664 in words is "two billion, two hundred fifty-seven million, seven hundred eighty-seven thousand, six hundred sixty-four".