2065862400 has 432 divisors, whose sum is σ = 8211974400. Its totient is φ = 446791680.

The previous prime is 2065862371. The next prime is 2065862437. The reversal of 2065862400 is 42685602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2553196 + ... + 2554004.

It is an arithmetic number, because the mean of its divisors is an integer number (19009200).

Almost surely, 2^2065862400 is an apocalyptic number.

2065862400 is a gapful number since it is divisible by the number (20) 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 2065862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105987200).

2065862400 is an abundant number, since it is smaller than the sum of its proper divisors (6146112000).

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

2065862400 is a wasteful number, since it uses less digits than its factorization.

2065862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2065862400 is about 45451.7590418677. The cubic root of 2065862400 is about 1273.6021897558.

The spelling of 2065862400 in words is "two billion, sixty-five million, eight hundred sixty-two thousand, four hundred".