1829274820 has 24 divisors (see below), whose sum is σ = 3945302424. Its totient is φ = 711933696.

The previous prime is 1829274773. The next prime is 1829274833. The reversal of 1829274820 is 284729281.

1829274820 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 542330944 + 1286943876 = 23288^2 + 35874^2 .

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 7 ways as a sum of consecutive naturals, for example, 1235257 + ... + 1236736.

It is an arithmetic number, because the mean of its divisors is an integer number (164387601).

Almost surely, 2^1829274820 is an apocalyptic number.

1829274820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1829274820 is an abundant number, since it is smaller than the sum of its proper divisors (2116027604).

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

1829274820 is a wasteful number, since it uses less digits than its factorization.

1829274820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472039 (or 2472037 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 1829274820 is about 42770.0224456336. The cubic root of 1829274820 is about 1222.9996106691. Note that the first 3 decimals are identical.

The spelling of 1829274820 in words is "one billion, eight hundred twenty-nine million, two hundred seventy-four thousand, eight hundred twenty".