1981614080 has 96 divisors (see below), whose sum is σ = 4919405400. Its totient is φ = 765198336.

The previous prime is 1981614079. The next prime is 1981614119. The reversal of 1981614080 is 804161891.

It can be written as a sum of positive squares in 4 ways, for example, as 1063281664 + 918332416 = 32608^2 + 30304^2 .

It is a super-3 number, since 3×1981614080³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293624 + ... + 300296.

Almost surely, 2^1981614080 is an apocalyptic number.

1981614080 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 1981614080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459702700).

1981614080 is an abundant number, since it is smaller than the sum of its proper divisors (2937791320).

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

1981614080 is an equidigital number, since it uses as much as digits as its factorization.

1981614080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6729 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 38.

The square root of 1981614080 is about 44515.3241030547. The cubic root of 1981614080 is about 1256.0483570980.

The spelling of 1981614080 in words is "one billion, nine hundred eighty-one million, six hundred fourteen thousand, eighty".