2031008616 has 192 divisors, whose sum is σ = 6803596800. Its totient is φ = 532998144.

The previous prime is 2031008611. The next prime is 2031008633. The reversal of 2031008616 is 6168001302.

It is a self number, because there is not a number n which added to its sum of digits gives 2031008616.

It is not an unprimeable number, because it can be changed into a prime (2031008611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1565280 + ... + 1566576.

It is an arithmetic number, because the mean of its divisors is an integer number (35435400).

Almost surely, 2^2031008616 is an apocalyptic number.

2031008616 is a gapful number since it is divisible by the number (26) 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 2031008616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401798400).

2031008616 is an abundant number, since it is smaller than the sum of its proper divisors (4772588184).

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

2031008616 is a wasteful number, since it uses less digits than its factorization.

2031008616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2031008616 is about 45066.7129486942. The cubic root of 2031008616 is about 1266.3990865378.

Adding to 2031008616 its reverse (6168001302), we get a palindrome (8199009918).

The spelling of 2031008616 in words is "two billion, thirty-one million, eight thousand, six hundred sixteen".