2257074029184 has 256 divisors, whose sum is σ = 6512154096000. Its totient is φ = 688516153344.

The previous prime is 2257074029179. The next prime is 2257074029191. The reversal of 2257074029184 is 4819204707522.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 608537922 + ... + 608541630.

Almost surely, 2^{2257074029184} is an apocalyptic number.

2257074029184 is a gapful number since it is divisible by the number (24) 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 2257074029184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256077048000).

2257074029184 is an abundant number, since it is smaller than the sum of its proper divisors (4255080066816).

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

2257074029184 is a wasteful number, since it uses less digits than its factorization.

2257074029184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 2257074029184 in words is "two trillion, two hundred fifty-seven billion, seventy-four million, twenty-nine thousand, one hundred eighty-four".