1800013824 has 216 divisors, whose sum is σ = 6050583630. Its totient is φ = 514031616.

The previous prime is 1800013763. The next prime is 1800013867. The reversal of 1800013824 is 4283100081.

It can be written as a sum of positive squares in only one way, i.e., 1366041600 + 433972224 = 36960^2 + 20832^2 .

It is a super-2 number, since 2×1800013824² = 6480099533182205952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902172 + ... + 904164.

Almost surely, 2^1800013824 is an apocalyptic number.

1800013824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025291815).

1800013824 is an abundant number, since it is smaller than the sum of its proper divisors (4250569806).

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

1800013824 is a wasteful number, since it uses less digits than its factorization.

1800013824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1800013824 is about 42426.5697882824. The cubic root of 1800013824 is about 1216.4435131941.

The spelling of 1800013824 in words is "one billion, eight hundred million, thirteen thousand, eight hundred twenty-four".