2487248640 has 288 divisors, whose sum is σ = 8947814400. Its totient is φ = 654151680.

The previous prime is 2487248581. The next prime is 2487248651. The reversal of 2487248640 is 468427842.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 2729785 + ... + 2730695.

It is an arithmetic number, because the mean of its divisors is an integer number (31068800).

Almost surely, 2^2487248640 is an apocalyptic number.

2487248640 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 2487248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473907200).

2487248640 is an abundant number, since it is smaller than the sum of its proper divisors (6460565760).

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

2487248640 is an equidigital number, since it uses as much as digits as its factorization.

2487248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2487248640 is about 49872.3233868245. The cubic root of 2487248640 is about 1354.8973728911.

The spelling of 2487248640 in words is "two billion, four hundred eighty-seven million, two hundred forty-eight thousand, six hundred forty".