2461261824 has 336 divisors, whose sum is σ = 8587313280. Its totient is φ = 663552000.

The previous prime is 2461261799. The next prime is 2461261879. The reversal of 2461261824 is 4281621642.

2461261824 is a `hidden beast` number, since 2 + 4 + 6 + 12 + 618 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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 23 ways as a sum of consecutive naturals, for example, 9805699 + ... + 9805949.

It is an arithmetic number, because the mean of its divisors is an integer number (25557480).

Almost surely, 2^2461261824 is an apocalyptic number.

2461261824 is a gapful number since it is divisible by the number (24) 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 2461261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293656640).

2461261824 is an abundant number, since it is smaller than the sum of its proper divisors (6126051456).

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

2461261824 is a wasteful number, since it uses less digits than its factorization.

2461261824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 282 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2461261824 is about 49611.1058534276. The cubic root of 2461261824 is about 1350.1621796930.

2461261824 divided by its product of digits (36864) gives a palindrome (66766).

It can be divided in two parts, 24612 and 61824, that added together give a square (86436 = 294²).

The spelling of 2461261824 in words is "two billion, four hundred sixty-one million, two hundred sixty-one thousand, eight hundred twenty-four".