2461472736 has 96 divisors (see below), whose sum is σ = 6632575488. Its totient is φ = 798873600.

The previous prime is 2461472723. The next prime is 2461472753. The reversal of 2461472736 is 6372741642.

2461472736 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1654585 + ... + 1656071.

It is an arithmetic number, because the mean of its divisors is an integer number (69089328).

Almost surely, 2^2461472736 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 2461472736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316287744).

2461472736 is an abundant number, since it is smaller than the sum of its proper divisors (4171102752).

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

2461472736 is a wasteful number, since it uses less digits than its factorization.

2461472736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944 (or 1936 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 2461472736 is about 49613.2314609722. The cubic root of 2461472736 is about 1350.2007449077.

The spelling of 2461472736 in words is "two billion, four hundred sixty-one million, four hundred seventy-two thousand, seven hundred thirty-six".