2415427248 has 320 divisors, whose sum is σ = 7439523840. Its totient is φ = 669081600.

The previous prime is 2415427213. The next prime is 2415427283. The reversal of 2415427248 is 8427245142.

It is an interprime number because it is at equal distance from previous prime (2415427213) and next prime (2415427283).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27139588 + ... + 27139676.

It is an arithmetic number, because the mean of its divisors is an integer number (23248512).

Almost surely, 2^2415427248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2415427248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719761920).

2415427248 is an abundant number, since it is smaller than the sum of its proper divisors (5024096592).

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

2415427248 is a wasteful number, since it uses less digits than its factorization.

2415427248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its digits is 143360, while the sum is 39.

The square root of 2415427248 is about 49146.9963273444. The cubic root of 2415427248 is about 1341.7285274839.

The spelling of 2415427248 in words is "two billion, four hundred fifteen million, four hundred twenty-seven thousand, two hundred forty-eight".