2493792 has 72 divisors (see below), whose sum is σ = 8111376. Its totient is φ = 711936.

The previous prime is 2493779. The next prime is 2493817. The reversal of 2493792 is 2973942.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1398 + ... + 2634.

It is an arithmetic number, because the mean of its divisors is an integer number (112658).

2^2493792 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 2493792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055688).

2493792 is an abundant number, since it is smaller than the sum of its proper divisors (5617584).

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

2493792 is a wasteful number, since it uses less digits than its factorization.

2493792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260 (or 1249 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2493792 is about 1579.1744678787. The cubic root of 2493792 is about 135.6084470160.

The spelling of 2493792 in words is "two million, four hundred ninety-three thousand, seven hundred ninety-two".