2392416 has 120 divisors (see below), whose sum is σ = 7683984. Its totient is φ = 725760.

The previous prime is 2392373. The next prime is 2392421. The reversal of 2392416 is 6142932.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2392416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33661 + ... + 33731.

2^2392416 is an apocalyptic number.

2392416 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 2392416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841992).

2392416 is an abundant number, since it is smaller than the sum of its proper divisors (5291568).

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

2392416 is a wasteful number, since it uses less digits than its factorization.

2392416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2392416 is about 1546.7436762437. The cubic root of 2392416 is about 133.7454139983.

The spelling of 2392416 in words is "two million, three hundred ninety-two thousand, four hundred sixteen".