2829540 has 48 divisors (see below), whose sum is σ = 9055872. Its totient is φ = 646656.

The previous prime is 2829539. The next prime is 2829557. The reversal of 2829540 is 459282.

2829540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2829540² = 16012593223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2829498 and 2829507.

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 15 ways as a sum of consecutive naturals, for example, 2949 + ... + 3788.

It is an arithmetic number, because the mean of its divisors is an integer number (188664).

2^2829540 is an apocalyptic number.

2829540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2829540 is an abundant number, since it is smaller than the sum of its proper divisors (6226332).

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

2829540 is a wasteful number, since it uses less digits than its factorization.

2829540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6756 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2829540 is about 1682.1236577612. The cubic root of 2829540 is about 141.4399017261.

The spelling of 2829540 in words is "two million, eight hundred twenty-nine thousand, five hundred forty".