2463464000 has 168 divisors, whose sum is σ = 6446309688. Its totient is φ = 932428800.

The previous prime is 2463463997. The next prime is 2463464027. The reversal of 2463464000 is 4643642.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 533794816 + 1929669184 = 23104^2 + 43928^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2887574 + ... + 2888426.

It is an arithmetic number, because the mean of its divisors is an integer number (38370891).

Almost surely, 2^2463464000 is an apocalyptic number.

2463464000 is a gapful number since it is divisible by the number (20) 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 2463464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223154844).

2463464000 is an abundant number, since it is smaller than the sum of its proper divisors (3982845688).

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

2463464000 is an equidigital number, since it uses as much as digits as its factorization.

2463464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 2463464000 is about 49633.2952764573. The cubic root of 2463464000 is about 1350.5647385743.

The spelling of 2463464000 in words is "two billion, four hundred sixty-three million, four hundred sixty-four thousand".