2752992 has 108 divisors (see below), whose sum is σ = 8714160. Its totient is φ = 823680.

The previous prime is 2752987. The next prime is 2752993. The reversal of 2752992 is 2992572.

2752992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 d-powerful number, because it can be written as 2⁶ + 7⁶ + 5³ + 2²⁰ + 9⁴ + 9⁶ + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752993) 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 17 ways as a sum of consecutive naturals, for example, 34809 + ... + 34887.

2^2752992 is an apocalyptic number.

2752992 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 2752992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080).

2752992 is an abundant number, since it is smaller than the sum of its proper divisors (5961168).

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

2752992 is a wasteful number, since it uses less digits than its factorization.

2752992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

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

The square root of 2752992 is about 1659.2142718769. The cubic root of 2752992 is about 140.1527584299.

The spelling of 2752992 in words is "two million, seven hundred fifty-two thousand, nine hundred ninety-two".