2463384960 has 640 divisors, whose sum is σ = 9641570400. Its totient is φ = 597196800.

The previous prime is 2463384953. The next prime is 2463384967. The reversal of 2463384960 is 694833642.

2463384960 is a `hidden beast` number, since 2 + 4 + 633 + 8 + 4 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2463384953) and next prime (2463384967).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2463384960² = 12136530922308403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2463384967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40383330 + ... + 40383390.

Almost surely, 2^2463384960 is an apocalyptic number.

2463384960 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 2463384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820785200).

2463384960 is an abundant number, since it is smaller than the sum of its proper divisors (7178185440).

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

2463384960 is a wasteful number, since it uses less digits than its factorization.

2463384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 2463384960 is about 49632.4990303732. The cubic root of 2463384960 is about 1350.5502941742.

The spelling of 2463384960 in words is "two billion, four hundred sixty-three million, three hundred eighty-four thousand, nine hundred sixty".