1981844480 has 264 divisors, whose sum is σ = 5985165984. Its totient is φ = 616366080.

The previous prime is 1981844453. The next prime is 1981844489. The reversal of 1981844480 is 844481891.

It is not an unprimeable number, because it can be changed into a prime (1981844489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4336412 + ... + 4336868.

Almost surely, 2^1981844480 is an apocalyptic number.

1981844480 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 1981844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992582992).

1981844480 is an abundant number, since it is smaller than the sum of its proper divisors (4003321504).

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

1981844480 is a wasteful number, since it uses less digits than its factorization.

1981844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The square root of 1981844480 is about 44517.9119007170. The cubic root of 1981844480 is about 1256.0970349795.

The spelling of 1981844480 in words is "one billion, nine hundred eighty-one million, eight hundred forty-four thousand, four hundred eighty".