2428192 has 36 divisors (see below), whose sum is σ = 5188050. Its totient is φ = 1118208.

The previous prime is 2428189. The next prime is 2428207. The reversal of 2428192 is 2918242.

It can be written as a sum of positive squares in 3 ways, for example, as 1354896 + 1073296 = 1164^2 + 1036^2 .

It is a super-2 number, since 2×2428192² = 11792232777728, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2428192.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5184 + ... + 5632.

2^2428192 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 2428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594025).

2428192 is an abundant number, since it is smaller than the sum of its proper divisors (2759858).

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

2428192 is a wasteful number, since it uses less digits than its factorization.

2428192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 464 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 2428192 is about 1558.2657026323. The cubic root of 2428192 is about 134.4087909972.

It can be divided in two parts, 242 and 8192, that multiplied together give a square (1982464 = 1408²).

The spelling of 2428192 in words is "two million, four hundred twenty-eight thousand, one hundred ninety-two".