2461596966 has 80 divisors (see below), whose sum is σ = 5736852000. Its totient is φ = 787957632.

The previous prime is 2461596901. The next prime is 2461596967. The reversal of 2461596966 is 6696951642.

2461596966 is a `hidden beast` number, since 2 + 46 + 1 + 596 + 9 + 6 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461596967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 933586 + ... + 936218.

It is an arithmetic number, because the mean of its divisors is an integer number (71710650).

Almost surely, 2^2461596966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461596966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868426000).

2461596966 is an abundant number, since it is smaller than the sum of its proper divisors (3275255034).

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

2461596966 is a wasteful number, since it uses less digits than its factorization.

2461596966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2866 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The square root of 2461596966 is about 49614.4834297406. The cubic root of 2461596966 is about 1350.2234593061.

The spelling of 2461596966 in words is "two billion, four hundred sixty-one million, five hundred ninety-six thousand, nine hundred sixty-six".