2742828 has 36 divisors (see below), whose sum is σ = 7038360. Its totient is φ = 830720.

The previous prime is 2742811. The next prime is 2742853. The reversal of 2742828 is 8282472.

2742828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 11 ways as a sum of consecutive naturals, for example, 508 + ... + 2396.

It is an arithmetic number, because the mean of its divisors is an integer number (195510).

2^2742828 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 2742828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519180).

2742828 is an abundant number, since it is smaller than the sum of its proper divisors (4295532).

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

2742828 is a wasteful number, since it uses less digits than its factorization.

2742828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1905 counting only the distinct ones).

The product of its digits is 14336, while the sum is 33.

The square root of 2742828 is about 1656.1485440624. The cubic root of 2742828 is about 139.9800651888.

It can be divided in two parts, 2742 and 828, that added together give a triangular number (3570 = T₈₄).

The spelling of 2742828 in words is "two million, seven hundred forty-two thousand, eight hundred twenty-eight".