2829826881 has 48 divisors (see below), whose sum is σ = 4927298880. Its totient is φ = 1600300800.

The previous prime is 2829826877. The next prime is 2829826891. The reversal of 2829826881 is 1886289282.

It is a happy number.

2829826881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2829826881 - 2² = 2829826877 is a prime.

It is a super-2 number, since 2×2829826881² = 16015840352860376322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2829826891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117306 + ... + 139356.

It is an arithmetic number, because the mean of its divisors is an integer number (102652060).

Almost surely, 2^2829826881 is an apocalyptic number.

2829826881 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2829826881 is a deficient number, since it is larger than the sum of its proper divisors (2097471999).

2829826881 is a wasteful number, since it uses less digits than its factorization.

2829826881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22171 (or 22158 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 2829826881 is about 53196.1171609357. The cubic root of 2829826881 is about 1414.4468166080.

The spelling of 2829826881 in words is "two billion, eight hundred twenty-nine million, eight hundred twenty-six thousand, eight hundred eighty-one".