2463410664 has 256 divisors, whose sum is σ = 8103110400. Its totient is φ = 683596800.

The previous prime is 2463410659. The next prime is 2463410669. The reversal of 2463410664 is 4660143642.

2463410664 is a `hidden beast` number, since 2 + 4 + 634 + 10 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2463410659) and next prime (2463410669).

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

It is not an unprimeable number, because it can be changed into a prime (2463410669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5343394 + ... + 5343854.

It is an arithmetic number, because the mean of its divisors is an integer number (31652775).

Almost surely, 2^2463410664 is an apocalyptic number.

2463410664 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 2463410664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051555200).

2463410664 is an abundant number, since it is smaller than the sum of its proper divisors (5639699736).

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

2463410664 is a wasteful number, since it uses less digits than its factorization.

2463410664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 2463410664 is about 49632.7579729356. The cubic root of 2463410664 is about 1350.5549915621.

The spelling of 2463410664 in words is "two billion, four hundred sixty-three million, four hundred ten thousand, six hundred sixty-four".