2257120000 has 90 divisors (see below), whose sum is σ = 5630375828. Its totient is φ = 902784000.

The previous prime is 2257119983. The next prime is 2257120001. The reversal of 2257120000 is 217522.

It is a self number, because there is not a number n which added to its sum of digits gives 2257120000.

It is not an unprimeable number, because it can be changed into a prime (2257120001) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 152947 + ... + 167053.

Almost surely, 2^2257120000 is an apocalyptic number.

2257120000 is a gapful number since it is divisible by the number (20) 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 2257120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815187914).

2257120000 is an abundant number, since it is smaller than the sum of its proper divisors (3373255828).

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

2257120000 is an frugal number, since it uses more digits than its factorization.

2257120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14143 (or 14114 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 2257120000 is about 47509.1570120961. The cubic root of 2257120000 is about 1311.7514401230.

Adding to 2257120000 its reverse (217522), we get a palindrome (2257337522).

The spelling of 2257120000 in words is "two billion, two hundred fifty-seven million, one hundred twenty thousand".