1829102020 has 24 divisors (see below), whose sum is σ = 3852135000. Its totient is φ = 729541632.

The previous prime is 1829101999. The next prime is 1829102039. The reversal of 1829102020 is 202019281.

It can be written as a sum of positive squares in 4 ways, for example, as 18939904 + 1810162116 = 4352^2 + 42546^2 .

It is a super-2 number, since 2×1829102020² = 6691228399136160800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124045 + ... + 138004.

It is an arithmetic number, because the mean of its divisors is an integer number (160505625).

Almost surely, 2^1829102020 is an apocalyptic number.

1829102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1829102020 is an abundant number, since it is smaller than the sum of its proper divisors (2023032980).

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

1829102020 is a wasteful number, since it uses less digits than its factorization.

1829102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262407 (or 262405 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 1829102020 is about 42768.0022914328. The cubic root of 1829102020 is about 1222.9610997821.

The spelling of 1829102020 in words is "one billion, eight hundred twenty-nine million, one hundred two thousand, twenty".