2447258880 has 432 divisors, whose sum is σ = 9003738240. Its totient is φ = 565002240.

The previous prime is 2447258867. The next prime is 2447258893. The reversal of 2447258880 is 888527442.

It is an interprime number because it is at equal distance from previous prime (2447258867) and next prime (2447258893).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10686606 + ... + 10686834.

Almost surely, 2^2447258880 is an apocalyptic number.

2447258880 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 2447258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4501869120).

2447258880 is an abundant number, since it is smaller than the sum of its proper divisors (6556479360).

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

2447258880 is a wasteful number, since it uses less digits than its factorization.

2447258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 48.

The square root of 2447258880 is about 49469.7774403726. Note that the first 3 decimals coincide. The cubic root of 2447258880 is about 1347.5967999321.

The spelling of 2447258880 in words is "two billion, four hundred forty-seven million, two hundred fifty-eight thousand, eight hundred eighty".