1981007280 has 600 divisors, whose sum is σ = 8497545408. Its totient is φ = 425005056.

The previous prime is 1981007207. The next prime is 1981007293. The reversal of 1981007280 is 827001891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5397657 + ... + 5398023.

Almost surely, 2^1981007280 is an apocalyptic number.

1981007280 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 1981007280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248772704).

1981007280 is an abundant number, since it is smaller than the sum of its proper divisors (6516538128).

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

1981007280 is a wasteful number, since it uses less digits than its factorization.

1981007280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1981007280 is about 44508.5079507278. The cubic root of 1981007280 is about 1255.9201370508.

The spelling of 1981007280 in words is "one billion, nine hundred eighty-one million, seven thousand, two hundred eighty".