2463906816 has 352 divisors, whose sum is σ = 8646528000. Its totient is φ = 678150144.

The previous prime is 2463906799. The next prime is 2463906827. The reversal of 2463906816 is 6186093642.

2463906816 is a `hidden beast` number, since 2 + 4 + 639 + 0 + 6 + 8 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5612325 + ... + 5612763.

It is an arithmetic number, because the mean of its divisors is an integer number (24564000).

Almost surely, 2^2463906816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2463906816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323264000).

2463906816 is an abundant number, since it is smaller than the sum of its proper divisors (6182621184).

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

2463906816 is a wasteful number, since it uses less digits than its factorization.

2463906816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2463906816 is about 49637.7559525005. The cubic root of 2463906816 is about 1350.6456565885.

The spelling of 2463906816 in words is "two billion, four hundred sixty-three million, nine hundred six thousand, eight hundred sixteen".