2257200000 has 768 divisors, whose sum is σ = 9561888000. Its totient is φ = 518400000.

The previous prime is 2257199999. The next prime is 2257200073. The reversal of 2257200000 is 27522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118799991 + ... + 118800009.

It is an arithmetic number, because the mean of its divisors is an integer number (12450375).

Almost surely, 2^2257200000 is an apocalyptic number.

2257200000 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 2257200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780944000).

2257200000 is an abundant number, since it is smaller than the sum of its proper divisors (7304688000).

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

2257200000 is an equidigital number, since it uses as much as digits as its factorization.

2257200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2257200000 is about 47509.9989475900. The cubic root of 2257200000 is about 1311.7669375822.

Adding to 2257200000 its reverse (27522), we get a palindrome (2257227522).

The spelling of 2257200000 in words is "two billion, two hundred fifty-seven million, two hundred thousand".