2064406416 has 80 divisors (see below), whose sum is σ = 5610974208. Its totient is φ = 653184000.

The previous prime is 2064406403. The next prime is 2064406429. The reversal of 2064406416 is 6146044602.

It is an interprime number because it is at equal distance from previous prime (2064406403) and next prime (2064406429).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58641 + ... + 86991.

Almost surely, 2^2064406416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805487104).

2064406416 is an abundant number, since it is smaller than the sum of its proper divisors (3546567792).

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

2064406416 is a wasteful number, since it uses less digits than its factorization.

2064406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28440 (or 28434 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2064406416 is about 45435.7394129335. The cubic root of 2064406416 is about 1273.3029151900.

The spelling of 2064406416 in words is "two billion, sixty-four million, four hundred six thousand, four hundred sixteen".