1981034208 has 144 divisors (see below), whose sum is σ = 6092573760. Its totient is φ = 608206848.

The previous prime is 1981034207. The next prime is 1981034233. The reversal of 1981034208 is 8024301891.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981034207) 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, 225808 + ... + 234416.

It is an arithmetic number, because the mean of its divisors is an integer number (42309540).

Almost surely, 2^1981034208 is an apocalyptic number.

1981034208 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 1981034208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046286880).

1981034208 is an abundant number, since it is smaller than the sum of its proper divisors (4111539552).

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

1981034208 is a wasteful number, since it uses less digits than its factorization.

1981034208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8689 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1981034208 is about 44508.8104536619. The cubic root of 1981034208 is about 1255.9258276347.

The spelling of 1981034208 in words is "one billion, nine hundred eighty-one million, thirty-four thousand, two hundred eight".