2104208064 has 224 divisors, whose sum is σ = 7169546240. Its totient is φ = 592717824.

The previous prime is 2104208047. The next prime is 2104208069. The reversal of 2104208064 is 4608024012.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104208069) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 881817 + ... + 884199.

Almost surely, 2^2104208064 is an apocalyptic number.

2104208064 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 2104208064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584773120).

2104208064 is an abundant number, since it is smaller than the sum of its proper divisors (5065338176).

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

2104208064 is a wasteful number, since it uses less digits than its factorization.

2104208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2104208064 is about 45871.6477140292. The cubic root of 2104208064 is about 1281.4339528734.

The spelling of 2104208064 in words is "two billion, one hundred four million, two hundred eight thousand, sixty-four".