2791152 has 160 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 725760.

The previous prime is 2791141. The next prime is 2791181. The reversal of 2791152 is 2511972.

2791152 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39277 + ... + 39347.

It is an arithmetic number, because the mean of its divisors is an integer number (62496).

2^2791152 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 2791152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

2791152 is an abundant number, since it is smaller than the sum of its proper divisors (7208208).

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

2791152 is a wasteful number, since it uses less digits than its factorization.

2791152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 2791152 is about 1670.6741154396. The cubic root of 2791152 is about 140.7973548918.

It can be divided in two parts, 279 and 1152, that added together give a triangular number (1431 = T₅₃).

The spelling of 2791152 in words is "two million, seven hundred ninety-one thousand, one hundred fifty-two".