2106504864 has 144 divisors (see below), whose sum is σ = 6273251712. Its totient is φ = 669233664.

The previous prime is 2106504859. The next prime is 2106504877. The reversal of 2106504864 is 4684056012.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3225562 + ... + 3226214.

It is an arithmetic number, because the mean of its divisors is an integer number (43564248).

Almost surely, 2^2106504864 is an apocalyptic number.

2106504864 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 2106504864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136625856).

2106504864 is an abundant number, since it is smaller than the sum of its proper divisors (4166746848).

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

2106504864 is a wasteful number, since it uses less digits than its factorization.

2106504864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2106504864 is about 45896.6759580691. The cubic root of 2106504864 is about 1281.9000232750.

The spelling of 2106504864 in words is "two billion, one hundred six million, five hundred four thousand, eight hundred sixty-four".