2461009824 has 384 divisors, whose sum is σ = 8944750080. Its totient is φ = 640991232.

The previous prime is 2461009801. The next prime is 2461009847. The reversal of 2461009824 is 4289001642.

It is an interprime number because it is at equal distance from previous prime (2461009801) and next prime (2461009847).

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

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 63 ways as a sum of consecutive naturals, for example, 8884374 + ... + 8884650.

It is an arithmetic number, because the mean of its divisors is an integer number (23293620).

Almost surely, 2^2461009824 is an apocalyptic number.

2461009824 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 2461009824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472375040).

2461009824 is an abundant number, since it is smaller than the sum of its proper divisors (6483740256).

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

2461009824 is a wasteful number, since it uses less digits than its factorization.

2461009824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2461009824 is about 49608.5660345066. The cubic root of 2461009824 is about 1350.1160986573.

The spelling of 2461009824 in words is "two billion, four hundred sixty-one million, nine thousand, eight hundred twenty-four".