1981058688 has 256 divisors, whose sum is σ = 7076678400. Its totient is φ = 532611072.

The previous prime is 1981058683. The next prime is 1981058767. The reversal of 1981058688 is 8868501891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1981058683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408856 + ... + 413672.

It is an arithmetic number, because the mean of its divisors is an integer number (27643275).

Almost surely, 2^1981058688 is an apocalyptic number.

1981058688 is a gapful number since it is divisible by the number (18) 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 1981058688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538339200).

1981058688 is an abundant number, since it is smaller than the sum of its proper divisors (5095619712).

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

1981058688 is a wasteful number, since it uses less digits than its factorization.

1981058688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The square root of 1981058688 is about 44509.0854545451. The cubic root of 1981058688 is about 1255.9310008480.

The spelling of 1981058688 in words is "one billion, nine hundred eighty-one million, fifty-eight thousand, six hundred eighty-eight".