2257688601 has 48 divisors (see below), whose sum is σ = 3790126080. Its totient is φ = 1268356320.

The previous prime is 2257688597. The next prime is 2257688603. The reversal of 2257688601 is 1068867522.

It is not a de Polignac number, because 2257688601 - 2² = 2257688597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2257688603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3054690 + ... + 3055428.

It is an arithmetic number, because the mean of its divisors is an integer number (78960960).

Almost surely, 2^2257688601 is an apocalyptic number.

2257688601 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2257688601 is a deficient number, since it is larger than the sum of its proper divisors (1532437479).

2257688601 is a wasteful number, since it uses less digits than its factorization.

2257688601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2257688601 is about 47515.1407553424. The cubic root of 2257688601 is about 1311.8615805613.

The spelling of 2257688601 in words is "two billion, two hundred fifty-seven million, six hundred eighty-eight thousand, six hundred one".