1801141920 has 120 divisors (see below), whose sum is σ = 6356575764. Its totient is φ = 480301056.

The previous prime is 1801141913. The next prime is 1801141939. The reversal of 1801141920 is 291411081.

It can be written as a sum of positive squares in 2 ways, for example, as 1481018256 + 320123664 = 38484^2 + 17892^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1801141920² = 6488224431962572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56529 + ... + 82448.

Almost surely, 2^1801141920 is an apocalyptic number.

1801141920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1801141920 is an abundant number, since it is smaller than the sum of its proper divisors (4555433844).

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

1801141920 is a wasteful number, since it uses less digits than its factorization.

1801141920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139004 (or 138987 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1801141920 is about 42439.8623937449. The cubic root of 1801141920 is about 1216.6975813333.

The spelling of 1801141920 in words is "one billion, eight hundred one million, one hundred forty-one thousand, nine hundred twenty".