2417216256 has 648 divisors, whose sum is σ = 9202733904. Its totient is φ = 627056640.

The previous prime is 2417216239. The next prime is 2417216279. The reversal of 2417216256 is 6526127142.

It is a happy number.

2417216256 is a `hidden beast` number, since 2 + 4 + 1 + 7 + 21 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2417216256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39626466 + ... + 39626526.

Almost surely, 2^2417216256 is an apocalyptic number.

2417216256 is a gapful number since it is divisible by the number (26) 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 2417216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601366952).

2417216256 is an abundant number, since it is smaller than the sum of its proper divisors (6785517648).

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

2417216256 is an equidigital number, since it uses as much as digits as its factorization.

2417216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 86 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2417216256 is about 49165.1935417730. The cubic root of 2417216256 is about 1342.0597001848.

The spelling of 2417216256 in words is "two billion, four hundred seventeen million, two hundred sixteen thousand, two hundred fifty-six".