2205936864 has 144 divisors (see below), whose sum is σ = 6666332400. Its totient is φ = 689541120.

The previous prime is 2205936833. The next prime is 2205936871. The reversal of 2205936864 is 4686395022.

2205936864 is a `hidden beast` number, since 220 + 5 + 9 + 368 + 64 = 666.

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

It is a congruent number.

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, 1708059 + ... + 1709349.

It is an arithmetic number, because the mean of its divisors is an integer number (46293975).

Almost surely, 2^2205936864 is an apocalyptic number.

2205936864 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 2205936864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333166200).

2205936864 is an abundant number, since it is smaller than the sum of its proper divisors (4460395536).

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

2205936864 is a wasteful number, since it uses less digits than its factorization.

2205936864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2205936864 is about 46967.4021423370. The cubic root of 2205936864 is about 1301.7603103834.

The spelling of 2205936864 in words is "two billion, two hundred five million, nine hundred thirty-six thousand, eight hundred sixty-four".