2084696064 has 312 divisors, whose sum is σ = 6762096432. Its totient is φ = 613416960.

The previous prime is 2084696027. The next prime is 2084696071. The reversal of 2084696064 is 4606964802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21491664 + ... + 21491760.

It is an arithmetic number, because the mean of its divisors is an integer number (21673386).

Almost surely, 2^2084696064 is an apocalyptic number.

2084696064 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 2084696064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381048216).

2084696064 is an abundant number, since it is smaller than the sum of its proper divisors (4677400368).

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

2084696064 is a wasteful number, since it uses less digits than its factorization.

2084696064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2084696064 is about 45658.4719849449. The cubic root of 2084696064 is about 1277.4607995243.

The spelling of 2084696064 in words is "two billion, eighty-four million, six hundred ninety-six thousand, sixty-four".