2509992 has 48 divisors (see below), whose sum is σ = 6907680. Its totient is φ = 823200.

The previous prime is 2509981. The next prime is 2509993. The reversal of 2509992 is 2999052.

2509992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2509993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4867 + ... + 5357.

It is an arithmetic number, because the mean of its divisors is an integer number (143910).

2^2509992 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 2509992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3453840).

2509992 is an abundant number, since it is smaller than the sum of its proper divisors (4397688).

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

2509992 is a wasteful number, since it uses less digits than its factorization.

2509992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2509992 is about 1584.2954269959. The cubic root of 2509992 is about 135.9014568730.

It can be divided in two parts, 250999 and 2, that added together give a square (251001 = 501²).

The spelling of 2509992 in words is "two million, five hundred nine thousand, nine hundred ninety-two".