2789352 has 48 divisors (see below), whose sum is σ = 7956000. Its totient is φ = 880416.

The previous prime is 2789351. The next prime is 2789387. The reversal of 2789352 is 2539872.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (2789351) 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, 349 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (165750).

2^2789352 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 2789352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978000).

2789352 is an abundant number, since it is smaller than the sum of its proper divisors (5166648).

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

2789352 is a wasteful number, since it uses less digits than its factorization.

2789352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070 (or 2063 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2789352 is about 1670.1353238585. The cubic root of 2789352 is about 140.7670818793.

The spelling of 2789352 in words is "two million, seven hundred eighty-nine thousand, three hundred fifty-two".