2257536628305 has 64 divisors (see below), whose sum is σ = 4632154560000. Its totient is φ = 1021798713600.

The previous prime is 2257536628283. The next prime is 2257536628307. The reversal of 2257536628305 is 5038266357522.

2257536628305 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 5 + 3 + 6 + 628 + 3 + 0 + 5 = 666.

It is not a de Polignac number, because 2257536628305 - 2¹³ = 2257536620113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2257536628307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11730930 + ... + 11921819.

It is an arithmetic number, because the mean of its divisors is an integer number (72377415000).

Almost surely, 2^{2257536628305} is an apocalyptic number.

It is an amenable number.

2257536628305 is an abundant number, since it is smaller than the sum of its proper divisors (2374617931695).

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

2257536628305 is a wasteful number, since it uses less digits than its factorization.

2257536628305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23652871 (or 23652865 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 2257536628305 in words is "two trillion, two hundred fifty-seven billion, five hundred thirty-six million, six hundred twenty-eight thousand, three hundred five".