2257161984 has 288 divisors, whose sum is σ = 8323822080. Its totient is φ = 586137600.

The previous prime is 2257161953. The next prime is 2257162001. The reversal of 2257161984 is 4891617522.

2257161984 is a `hidden beast` number, since 2 + 25 + 7 + 1 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent 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, 530104 + ... + 534344.

It is an arithmetic number, because the mean of its divisors is an integer number (28902160).

Almost surely, 2^2257161984 is an apocalyptic number.

2257161984 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 2257161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4161911040).

2257161984 is an abundant number, since it is smaller than the sum of its proper divisors (6066660096).

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

2257161984 is a wasteful number, since it uses less digits than its factorization.

2257161984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 4264 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 2257161984 is about 47509.5988617037. The cubic root of 2257161984 is about 1311.7595732353.

The spelling of 2257161984 in words is "two billion, two hundred fifty-seven million, one hundred sixty-one thousand, nine hundred eighty-four".