2106864864 has 288 divisors, whose sum is σ = 6817789440. Its totient is φ = 632406528.

The previous prime is 2106864857. The next prime is 2106864869. The reversal of 2106864864 is 4684686012.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2106864869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6862599 + ... + 6862905.

It is an arithmetic number, because the mean of its divisors is an integer number (23672880).

Almost surely, 2^2106864864 is an apocalyptic number.

2106864864 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 2106864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408894720).

2106864864 is an abundant number, since it is smaller than the sum of its proper divisors (4710924576).

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

2106864864 is a wasteful number, since it uses less digits than its factorization.

2106864864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2106864864 is about 45900.5976431680. The cubic root of 2106864864 is about 1281.9730443457.

The spelling of 2106864864 in words is "two billion, one hundred six million, eight hundred sixty-four thousand, eight hundred sixty-four".