2461504180 has 48 divisors (see below), whose sum is σ = 5338811520. Its totient is φ = 952587648.

The previous prime is 2461504153. The next prime is 2461504187. The reversal of 2461504180 is 814051642.

2461504180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461504187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123169 + ... + 141751.

It is an arithmetic number, because the mean of its divisors is an integer number (111225240).

Almost surely, 2^2461504180 is an apocalyptic number.

2461504180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461504180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669405760).

2461504180 is an abundant number, since it is smaller than the sum of its proper divisors (2877307340).

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

2461504180 is a wasteful number, since it uses less digits than its factorization.

2461504180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18808 (or 18806 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2461504180 is about 49613.5483512316. The cubic root of 2461504180 is about 1350.2064942478.

The spelling of 2461504180 in words is "two billion, four hundred sixty-one million, five hundred four thousand, one hundred eighty".