2417294880 has 1152 divisors, whose sum is σ = 11687639040. Its totient is φ = 452874240.

The previous prime is 2417294863. The next prime is 2417294909. The reversal of 2417294880 is 884927142.

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 191 ways as a sum of consecutive naturals, for example, 56216139 + ... + 56216181.

It is an arithmetic number, because the mean of its divisors is an integer number (10145520).

Almost surely, 2^2417294880 is an apocalyptic number.

2417294880 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 2417294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843819520).

2417294880 is an abundant number, since it is smaller than the sum of its proper divisors (9270344160).

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

2417294880 is a wasteful number, since it uses less digits than its factorization.

2417294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2417294880 is about 49165.9931253300. The cubic root of 2417294880 is about 1342.0742509388.

The spelling of 2417294880 in words is "two billion, four hundred seventeen million, two hundred ninety-four thousand, eight hundred eighty".