2417792 has 32 divisors (see below), whose sum is σ = 5190780. Its totient is φ = 1115136.

The previous prime is 2417773. The next prime is 2417797. The reversal of 2417792 is 2977142.

It can be written as a sum of positive squares in 2 ways, for example, as 2383936 + 33856 = 1544^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2417797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 938 + ... + 2390.

2^2417792 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 2417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595390).

2417792 is an abundant number, since it is smaller than the sum of its proper divisors (2772988).

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

2417792 is a wasteful number, since it uses less digits than its factorization.

2417792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 1468 counting only the distinct ones).

The product of its digits is 7056, while the sum is 32.

The square root of 2417792 is about 1554.9250785810. The cubic root of 2417792 is about 134.2166244435.

The spelling of 2417792 in words is "two million, four hundred seventeen thousand, seven hundred ninety-two".