2829056 has 36 divisors (see below), whose sum is σ = 5800872. Its totient is φ = 1376256.

The previous prime is 2829049. The next prime is 2829061. The reversal of 2829056 is 6509282.

2829056 = T₁ + T₂ + ... + T₂₅₆.

2829056 is a nontrivial binomial coefficient, being equal to C(258, 3).

It is a super-2 number, since 2×2829056² = 16007115702272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is the 256-th tetrahedral number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10880 + ... + 11136.

2^2829056 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 2829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900436).

2829056 is an abundant number, since it is smaller than the sum of its proper divisors (2971816).

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

2829056 is an equidigital number, since it uses as much as digits as its factorization.

2829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2829056 is about 1681.9797858476. The cubic root of 2829056 is about 141.4318367148.

The spelling of 2829056 in words is "two million, eight hundred twenty-nine thousand, fifty-six".