2487784320 has 512 divisors, whose sum is σ = 10211097600. Its totient is φ = 560701440.

The previous prime is 2487784319. The next prime is 2487784349. The reversal of 2487784320 is 234877842.

2487784320 is a `hidden beast` number, since 248 + 7 + 7 + 84 + 320 = 666.

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 63 ways as a sum of consecutive naturals, for example, 15845682 + ... + 15845838.

It is an arithmetic number, because the mean of its divisors is an integer number (19943550).

Almost surely, 2^2487784320 is an apocalyptic number.

2487784320 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 2487784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105548800).

2487784320 is an abundant number, since it is smaller than the sum of its proper divisors (7723313280).

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

2487784320 is a wasteful number, since it uses less digits than its factorization.

2487784320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2487784320 is about 49877.6936114733. The cubic root of 2487784320 is about 1354.9946342203.

The spelling of 2487784320 in words is "two billion, four hundred eighty-seven million, seven hundred eighty-four thousand, three hundred twenty".