2065216420 has 48 divisors (see below), whose sum is σ = 4510679040. Its totient is φ = 793563264.

The previous prime is 2065216409. The next prime is 2065216429. The reversal of 2065216420 is 246125602.

It is a super-2 number, since 2×2065216420² = 8530237722875232800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2065216429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40797 + ... + 76123.

It is an arithmetic number, because the mean of its divisors is an integer number (93972480).

Almost surely, 2^2065216420 is an apocalyptic number.

2065216420 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 2065216420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255339520).

2065216420 is an abundant number, since it is smaller than the sum of its proper divisors (2445462620).

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

2065216420 is a wasteful number, since it uses less digits than its factorization.

2065216420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35452 (or 35450 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2065216420 is about 45444.6522706468. The cubic root of 2065216420 is about 1273.4694272332.

The spelling of 2065216420 in words is "two billion, sixty-five million, two hundred sixteen thousand, four hundred twenty".