1819980360 has 384 divisors, whose sum is σ = 7028784000. Its totient is φ = 417415680.

The previous prime is 1819980359. The next prime is 1819980401. The reversal of 1819980360 is 630899181.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2482554 + ... + 2483286.

It is an arithmetic number, because the mean of its divisors is an integer number (18304125).

Almost surely, 2^1819980360 is an apocalyptic number.

1819980360 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 1819980360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514392000).

1819980360 is an abundant number, since it is smaller than the sum of its proper divisors (5208803640).

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

1819980360 is a wasteful number, since it uses less digits than its factorization.

1819980360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1819980360 is about 42661.2278304317. The cubic root of 1819980360 is about 1220.9247579639.

The spelling of 1819980360 in words is "one billion, eight hundred nineteen million, nine hundred eighty thousand, three hundred sixty".