2031981120 has 448 divisors, whose sum is σ = 7851648000. Its totient is φ = 491692032.

The previous prime is 2031981089. The next prime is 2031981131. The reversal of 2031981120 is 211891302.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8873166 + ... + 8873394.

It is an arithmetic number, because the mean of its divisors is an integer number (17526000).

Almost surely, 2^2031981120 is an apocalyptic number.

2031981120 is a gapful number since it is divisible by the number (20) 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 2031981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925824000).

2031981120 is an abundant number, since it is smaller than the sum of its proper divisors (5819666880).

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

2031981120 is a wasteful number, since it uses less digits than its factorization.

2031981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2031981120 is about 45077.5012617159. The cubic root of 2031981120 is about 1266.6011834415.

The spelling of 2031981120 in words is "two billion, thirty-one million, nine hundred eighty-one thousand, one hundred twenty".