2451541984 has 24 divisors (see below), whose sum is σ = 5110384608. Its totient is φ = 1153666560.

The previous prime is 2451541957. The next prime is 2451541997. The reversal of 2451541984 is 4891451542.

2451541984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2451541984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2252712 + ... + 2253799.

It is an arithmetic number, because the mean of its divisors is an integer number (212932692).

Almost surely, 2^2451541984 is an apocalyptic number.

It is an amenable number.

2451541984 is an abundant number, since it is smaller than the sum of its proper divisors (2658842624).

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

2451541984 is a wasteful number, since it uses less digits than its factorization.

2451541984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506538 (or 4506530 counting only the distinct ones).

The product of its digits is 230400, while the sum is 43.

The square root of 2451541984 is about 49513.0486235699. The cubic root of 2451541984 is about 1348.3825134646.

The spelling of 2451541984 in words is "two billion, four hundred fifty-one million, five hundred forty-one thousand, nine hundred eighty-four".