2410417216 has 105 divisors (see below), whose sum is σ = 5363365829. Its totient is φ = 1074613248.

The previous prime is 2410417187. The next prime is 2410417223. The reversal of 2410417216 is 6127140142.

The square root of 2410417216 is 49096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1876622400 + 533794816 = 43320^2 + 23104^2 .

It is a super-2 number, since 2×2410417216² = 11620222310378381312, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 126864055 + ... + 126864073.

Almost surely, 2^2410417216 is an apocalyptic number.

2410417216 is the 49096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2410417216

2410417216 is an abundant number, since it is smaller than the sum of its proper divisors (2952948613).

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

2410417216 is an frugal number, since it uses more digits than its factorization.

2410417216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The cubic root of 2410417216 is about 1340.8002229994.

Adding to 2410417216 its reverse (6127140142), we get a palindrome (8537557358).

The spelling of 2410417216 in words is "two billion, four hundred ten million, four hundred seventeen thousand, two hundred sixteen".