2417772 has 48 divisors (see below), whose sum is σ = 6531840. Its totient is φ = 681792.

The previous prime is 2417771. The next prime is 2417773. The reversal of 2417772 is 2777142.

2417772 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2417771) and next prime (2417773).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2417771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8854 + ... + 9122.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

2^2417772 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 2417772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265920).

2417772 is an abundant number, since it is smaller than the sum of its proper divisors (4114068).

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

2417772 is a wasteful number, since it uses less digits than its factorization.

2417772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 388 counting only the distinct ones).

The product of its digits is 5488, while the sum is 30.

The square root of 2417772 is about 1554.9186473896. The cubic root of 2417772 is about 134.2162543621.

The spelling of 2417772 in words is "two million, four hundred seventeen thousand, seven hundred seventy-two".