2461640664 has 128 divisors (see below), whose sum is σ = 7481756160. Its totient is φ = 658864128.

The previous prime is 2461640659. The next prime is 2461640707. The reversal of 2461640664 is 4660461642.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 646414 + ... + 650210.

It is an arithmetic number, because the mean of its divisors is an integer number (58451220).

Almost surely, 2^2461640664 is an apocalyptic number.

2461640664 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 2461640664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3740878080).

2461640664 is an abundant number, since it is smaller than the sum of its proper divisors (5020115496).

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

2461640664 is a wasteful number, since it uses less digits than its factorization.

2461640664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 2461640664 is about 49614.9238032268. The cubic root of 2461640664 is about 1350.2314489318.

The spelling of 2461640664 in words is "two billion, four hundred sixty-one million, six hundred forty thousand, six hundred sixty-four".