2829690 has 48 divisors (see below), whose sum is σ = 7682688. Its totient is φ = 721248.

The previous prime is 2829683. The next prime is 2829691. The reversal of 2829690 is 969282.

It is a super-2 number, since 2×2829690² = 16014290992200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2829691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1387 + ... + 2753.

It is an arithmetic number, because the mean of its divisors is an integer number (160056).

2^2829690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2829690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3841344).

2829690 is an abundant number, since it is smaller than the sum of its proper divisors (4852998).

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

2829690 is a wasteful number, since it uses less digits than its factorization.

2829690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2829690 is about 1682.1682436665. The cubic root of 2829690 is about 141.4424010264.

The spelling of 2829690 in words is "two million, eight hundred twenty-nine thousand, six hundred ninety".