2257920000 has 630 divisors, whose sum is σ = 9481186143. Its totient is φ = 516096000.

The previous prime is 2257919977. The next prime is 2257920001. The reversal of 2257920000 is 297522.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 522031104 + 1735888896 = 22848^2 + 41664^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33600.

It is not an unprimeable number, because it can be changed into a prime (2257920001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 322559997 + ... + 322560003.

Almost surely, 2^2257920000 is an apocalyptic number.

2257920000 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 2257920000

2257920000 is an abundant number, since it is smaller than the sum of its proper divisors (7223266143).

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

2257920000 is an frugal number, since it uses more digits than its factorization.

2257920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2257920000 is about 47517.5756957360. The cubic root of 2257920000 is about 1311.9063982401.

The spelling of 2257920000 in words is "two billion, two hundred fifty-seven million, nine hundred twenty thousand".