1800252720 has 480 divisors, whose sum is σ = 7277212800. Its totient is φ = 390168576.

The previous prime is 1800252709. The next prime is 1800252743. The reversal of 1800252720 is 272520081.

1800252720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15931384 + ... + 15931496.

It is an arithmetic number, because the mean of its divisors is an integer number (15160860).

Almost surely, 2^1800252720 is an apocalyptic number.

1800252720 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 1800252720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3638606400).

1800252720 is an abundant number, since it is smaller than the sum of its proper divisors (5476960080).

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

1800252720 is a wasteful number, since it uses less digits than its factorization.

1800252720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1800252720 is about 42429.3851004230. The cubic root of 1800252720 is about 1216.4973258613.

The spelling of 1800252720 in words is "one billion, eight hundred million, two hundred fifty-two thousand, seven hundred twenty".