2534456832 has 240 divisors, whose sum is σ = 7460321616. Its totient is φ = 761856000.

The previous prime is 2534456791. The next prime is 2534456833. The reversal of 2534456832 is 2386544352.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534456833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25093582 + ... + 25093682.

Almost surely, 2^2534456832 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 2534456832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3730160808).

2534456832 is an abundant number, since it is smaller than the sum of its proper divisors (4925864784).

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

2534456832 is a wasteful number, since it uses less digits than its factorization.

2534456832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The square root of 2534456832 is about 50343.3891588558. The cubic root of 2534456832 is about 1363.4157277229.

The spelling of 2534456832 in words is "two billion, five hundred thirty-four million, four hundred fifty-six thousand, eight hundred thirty-two".