2529792 has 100 divisors (see below), whose sum is σ = 7674546. Its totient is φ = 829440.

The previous prime is 2529773. The next prime is 2529799. The reversal of 2529792 is 2979252.

2529792 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 2509056 + 20736 = 1584^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2529799) 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 9 ways as a sum of consecutive naturals, for example, 41442 + ... + 41502.

2^2529792 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 2529792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837273).

2529792 is an abundant number, since it is smaller than the sum of its proper divisors (5144754).

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

2529792 is an frugal number, since it uses more digits than its factorization.

2529792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 66 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 2529792 is about 1590.5319864750. The cubic root of 2529792 is about 136.2578729003.

It can be divided in two parts, 2529 and 792, that added together give a triangular number (3321 = T₈₁).

The spelling of 2529792 in words is "two million, five hundred twenty-nine thousand, seven hundred ninety-two".