2457846272 has 90 divisors (see below), whose sum is σ = 5730980013. Its totient is φ = 1049997312.

The previous prime is 2457846203. The next prime is 2457846283. The reversal of 2457846272 is 2726487542.

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 2 ways, for example, as 1424609536 + 1033236736 = 37744^2 + 32144^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35056.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 7852388 + ... + 7852700.

Almost surely, 2^2457846272 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 2457846272

2457846272 is an abundant number, since it is smaller than the sum of its proper divisors (3273133741).

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

2457846272 is an frugal number, since it uses more digits than its factorization.

2457846272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 322 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 47.

The square root of 2457846272 is about 49576.6706425512. The cubic root of 2457846272 is about 1349.5373397674.

The spelling of 2457846272 in words is "two billion, four hundred fifty-seven million, eight hundred forty-six thousand, two hundred seventy-two".