1981084896 has 216 divisors, whose sum is σ = 6640189920. Its totient is φ = 558544896.

The previous prime is 1981084891. The next prime is 1981084901. The reversal of 1981084896 is 6984801891.

It is an interprime number because it is at equal distance from previous prime (1981084891) and next prime (1981084901).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981084891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1113960 + ... + 1115736.

It is an arithmetic number, because the mean of its divisors is an integer number (30741620).

Almost surely, 2^1981084896 is an apocalyptic number.

1981084896 is a gapful number since it is divisible by the number (16) 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 1981084896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320094960).

1981084896 is an abundant number, since it is smaller than the sum of its proper divisors (4659105024).

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

1981084896 is a wasteful number, since it uses less digits than its factorization.

1981084896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 1981084896 is about 44509.3798653722. The cubic root of 1981084896 is about 1255.9365391821.

The spelling of 1981084896 in words is "one billion, nine hundred eighty-one million, eighty-four thousand, eight hundred ninety-six".