2258457632 has 54 divisors (see below), whose sum is σ = 4611411567. Its totient is φ = 1088769600.

The previous prime is 2258457631. The next prime is 2258457647. The reversal of 2258457632 is 2367548522.

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 only one way, i.e., 1129228816 + 1129228816 = 33604^2 + 33604^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33604.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2258457631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8333657 + ... + 8333927.

Almost surely, 2^2258457632 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 2258457632

2258457632 is an abundant number, since it is smaller than the sum of its proper divisors (2352953935).

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

2258457632 is an frugal number, since it uses more digits than its factorization.

2258457632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 304 counting only the distinct ones).

The product of its digits is 806400, while the sum is 44.

The square root of 2258457632 is about 47523.2325499855. The cubic root of 2258457632 is about 1312.0105157297.

The spelling of 2258457632 in words is "two billion, two hundred fifty-eight million, four hundred fifty-seven thousand, six hundred thirty-two".