2117851008 has 128 divisors (see below), whose sum is σ = 6923857920. Its totient is φ = 558544896.

The previous prime is 2117850967. The next prime is 2117851019. The reversal of 2117851008 is 8001587112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2117851008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4641 + ... + 65247.

It is an arithmetic number, because the mean of its divisors is an integer number (54092640).

Almost surely, 2^2117851008 is an apocalyptic number.

2117851008 is a gapful number since it is divisible by the number (28) 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 2117851008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461928960).

2117851008 is an abundant number, since it is smaller than the sum of its proper divisors (4806006912).

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

2117851008 is a wasteful number, since it uses less digits than its factorization.

2117851008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60644 (or 60632 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The square root of 2117851008 is about 46020.1152540930. The cubic root of 2117851008 is about 1284.1974444284.

The spelling of 2117851008 in words is "two billion, one hundred seventeen million, eight hundred fifty-one thousand, eight".