2487663360 has 864 divisors, whose sum is σ = 11156806080. Its totient is φ = 520224768.

The previous prime is 2487663359. The next prime is 2487663383. The reversal of 2487663360 is 633667842.

2487663360 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 6 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22014664 + ... + 22014776.

It is an arithmetic number, because the mean of its divisors is an integer number (12912970).

Almost surely, 2^2487663360 is an apocalyptic number.

2487663360 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 2487663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578403040).

2487663360 is an abundant number, since it is smaller than the sum of its proper divisors (8669142720).

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

2487663360 is a wasteful number, since it uses less digits than its factorization.

2487663360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 2487663360 is about 49876.4810306421. The cubic root of 2487663360 is about 1354.9726732052.

The spelling of 2487663360 in words is "two billion, four hundred eighty-seven million, six hundred sixty-three thousand, three hundred sixty".