2257583039712 has 2688 divisors, whose sum is σ = 9755141050368. Its totient is φ = 498599608320.

The previous prime is 2257583039669. The next prime is 2257583039713. The reversal of 2257583039712 is 2179303857522.

2257583039712 is a `hidden beast` number, since 2 + 2 + 57 + 583 + 0 + 3 + 9 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257583039713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 48033681673 + ... + 48033681719.

It is an arithmetic number, because the mean of its divisors is an integer number (3629144736).

Almost surely, 2^{2257583039712} is an apocalyptic number.

2257583039712 is a gapful number since it is divisible by the number (22) 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 2257583039712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877570525184).

2257583039712 is an abundant number, since it is smaller than the sum of its proper divisors (7497558010656).

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

2257583039712 is a wasteful number, since it uses less digits than its factorization.

2257583039712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 2257583039712 in words is "two trillion, two hundred fifty-seven billion, five hundred eighty-three million, thirty-nine thousand, seven hundred twelve".