2461243104 has 192 divisors, whose sum is σ = 7359206400. Its totient is φ = 800077824.

The previous prime is 2461243093. The next prime is 2461243117. The reversal of 2461243104 is 4013421642.

It is a happy number.

2461243104 is a `hidden beast` number, since 2 + 4 + 612 + 43 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7303224 + ... + 7303560.

It is an arithmetic number, because the mean of its divisors is an integer number (38329200).

Almost surely, 2^2461243104 is an apocalyptic number.

2461243104 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 2461243104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679603200).

2461243104 is an abundant number, since it is smaller than the sum of its proper divisors (4897963296).

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

2461243104 is a wasteful number, since it uses less digits than its factorization.

2461243104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2461243104 is about 49610.9171856357. The cubic root of 2461243104 is about 1350.1587566385.

Adding to 2461243104 its reverse (4013421642), we get a palindrome (6474664746).

The spelling of 2461243104 in words is "two billion, four hundred sixty-one million, two hundred forty-three thousand, one hundred four".