2145792 has 80 divisors (see below), whose sum is σ = 6285312. Its totient is φ = 645120.

The previous prime is 2145779. The next prime is 2145821. The reversal of 2145792 is 2975412.

It is a d-powerful number, because it can be written as 2⁷ + 1 + 4² + 5⁹ + 7⁴ + 9⁵ + 2¹⁷ .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 16833 + ... + 16959.

2^2145792 is an apocalyptic number.

2145792 is a gapful number since it is divisible by the number (22) 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 2145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142656).

2145792 is an abundant number, since it is smaller than the sum of its proper divisors (4139520).

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

2145792 is a wasteful number, since it uses less digits than its factorization.

2145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 2145792 is about 1464.8522109756. The cubic root of 2145792 is about 128.9820298266.

It can be divided in two parts, 214 and 5792, that added together give a palindrome (6006).

The spelling of 2145792 in words is "two million, one hundred forty-five thousand, seven hundred ninety-two".