2451256832 has 80 divisors (see below), whose sum is σ = 5236352352. Its totient is φ = 1143521280.

The previous prime is 2451256789. The next prime is 2451256849. The reversal of 2451256832 is 2386521542.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480278 + ... + 485354.

Almost surely, 2^2451256832 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 2451256832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618176176).

2451256832 is an abundant number, since it is smaller than the sum of its proper divisors (2785095520).

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

2451256832 is an equidigital number, since it uses as much as digits as its factorization.

2451256832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5159 (or 5143 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 2451256832 is about 49510.1689756761. The cubic root of 2451256832 is about 1348.3302322363.

The spelling of 2451256832 in words is "two billion, four hundred fifty-one million, two hundred fifty-six thousand, eight hundred thirty-two".