2257480016 has 80 divisors (see below), whose sum is σ = 4981824000. Its totient is φ = 981657600.

The previous prime is 2257480013. The next prime is 2257480021. The reversal of 2257480016 is 6100847522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257480013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483260 + ... + 487908.

It is an arithmetic number, because the mean of its divisors is an integer number (62272800).

Almost surely, 2^2257480016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257480016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490912000).

2257480016 is an abundant number, since it is smaller than the sum of its proper divisors (2724343984).

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

2257480016 is a wasteful number, since it uses less digits than its factorization.

2257480016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 2257480016 is about 47512.9457727049. The cubic root of 2257480016 is about 1311.8211789052.

The spelling of 2257480016 in words is "two billion, two hundred fifty-seven million, four hundred eighty thousand, sixteen".