2065215360 has 256 divisors, whose sum is σ = 7170730560. Its totient is φ = 502530048.

The previous prime is 2065215349. The next prime is 2065215371. The reversal of 2065215360 is 635125602.

It is an interprime number because it is at equal distance from previous prime (2065215349) and next prime (2065215371).

It is a super-2 number, since 2×2065215360² = 8530228966359859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2420694 + ... + 2421546.

Almost surely, 2^2065215360 is an apocalyptic number.

2065215360 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 2065215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585365280).

2065215360 is an abundant number, since it is smaller than the sum of its proper divisors (5105515200).

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

2065215360 is a wasteful number, since it uses less digits than its factorization.

2065215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2065215360 is about 45444.6406081069. The cubic root of 2065215360 is about 1273.4692093581.

The spelling of 2065215360 in words is "two billion, sixty-five million, two hundred fifteen thousand, three hundred sixty".