1801829120 has 288 divisors, whose sum is σ = 5494272000. Its totient is φ = 550748160.

The previous prime is 1801829111. The next prime is 1801829123. The reversal of 1801829120 is 219281081.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1801829123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3610631 + ... + 3611129.

Almost surely, 2^1801829120 is an apocalyptic number.

1801829120 is a gapful number since it is divisible by the number (10) 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 1801829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747136000).

1801829120 is an abundant number, since it is smaller than the sum of its proper divisors (3692442880).

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

1801829120 is a wasteful number, since it uses less digits than its factorization.

1801829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 32.

The square root of 1801829120 is about 42447.9577836202. The cubic root of 1801829120 is about 1216.8522995253.

The spelling of 1801829120 in words is "one billion, eight hundred one million, eight hundred twenty-nine thousand, one hundred twenty".