2107917864 has 256 divisors, whose sum is σ = 6519744000. Its totient is φ = 627056640.

The previous prime is 2107917841. The next prime is 2107917901. The reversal of 2107917864 is 4687197012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19338642 + ... + 19338750.

It is an arithmetic number, because the mean of its divisors is an integer number (25467750).

Almost surely, 2^2107917864 is an apocalyptic number.

2107917864 is a gapful number since it is divisible by the number (24) 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 2107917864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259872000).

2107917864 is an abundant number, since it is smaller than the sum of its proper divisors (4411826136).

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

2107917864 is a wasteful number, since it uses less digits than its factorization.

2107917864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2107917864 is about 45912.0666491937. The cubic root of 2107917864 is about 1282.1865832406.

The spelling of 2107917864 in words is "two billion, one hundred seven million, nine hundred seventeen thousand, eight hundred sixty-four".