2257058377728 has 936 divisors, whose sum is σ = 8560952084880. Its totient is φ = 565888942080.

The previous prime is 2257058377697. The next prime is 2257058377729. The reversal of 2257058377728 is 8277738507522.

2257058377728 is a `hidden beast` number, since 2 + 2 + 570 + 5 + 8 + 37 + 7 + 7 + 28 = 666.

It is a super-2 number, since 2×2257058377728² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2257058377729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 576219226 + ... + 576223142.

It is an arithmetic number, because the mean of its divisors is an integer number (9146316330).

Almost surely, 2^{2257058377728} is an apocalyptic number.

2257058377728 is a gapful number since it is divisible by the number (28) 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 2257058377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280476042440).

2257058377728 is an abundant number, since it is smaller than the sum of its proper divisors (6303893707152).

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

2257058377728 is a wasteful number, since it uses less digits than its factorization.

2257058377728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 63.

The spelling of 2257058377728 in words is "two trillion, two hundred fifty-seven billion, fifty-eight million, three hundred seventy-seven thousand, seven hundred twenty-eight".