1802011680 has 432 divisors, whose sum is σ = 7474783680. Its totient is φ = 386187264.

The previous prime is 1802011669. The next prime is 1802011709. The reversal of 1802011680 is 861102081.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18577392 + ... + 18577488.

It is an arithmetic number, because the mean of its divisors is an integer number (17302740).

Almost surely, 2^1802011680 is an apocalyptic number.

1802011680 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 1802011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3737391840).

1802011680 is an abundant number, since it is smaller than the sum of its proper divisors (5672772000).

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

1802011680 is a wasteful number, since it uses less digits than its factorization.

1802011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1802011680 is about 42450.1081270708. The cubic root of 1802011680 is about 1216.8933949972.

The spelling of 1802011680 in words is "one billion, eight hundred two million, eleven thousand, six hundred eighty".