2463874560 has 240 divisors, whose sum is σ = 9752741856. Its totient is φ = 563134464.

The previous prime is 2463874559. The next prime is 2463874643. The reversal of 2463874560 is 654783642.

2463874560 is a `hidden beast` number, since 2 + 4 + 6 + 3 + 87 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 153642 + ... + 168918.

Almost surely, 2^2463874560 is an apocalyptic number.

2463874560 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 2463874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876370928).

2463874560 is an abundant number, since it is smaller than the sum of its proper divisors (7288867296).

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

2463874560 is a wasteful number, since it uses less digits than its factorization.

2463874560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15313 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2463874560 is about 49637.4310374741. The cubic root of 2463874560 is about 1350.6397626134.

The spelling of 2463874560 in words is "two billion, four hundred sixty-three million, eight hundred seventy-four thousand, five hundred sixty".