2065420032 has 288 divisors, whose sum is σ = 6436539648. Its totient is φ = 582156288.

The previous prime is 2065420013. The next prime is 2065420051. The reversal of 2065420032 is 2300245602.

It is an interprime number because it is at equal distance from previous prime (2065420013) and next prime (2065420051).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2065419984 and 2065420011.

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, 7298163 + ... + 7298445.

It is an arithmetic number, because the mean of its divisors is an integer number (22349096).

Almost surely, 2^2065420032 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 2065420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218269824).

2065420032 is an abundant number, since it is smaller than the sum of its proper divisors (4371119616).

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

2065420032 is a wasteful number, since it uses less digits than its factorization.

2065420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2065420032 is about 45446.8924350169. The cubic root of 2065420032 is about 1273.5112767836.

Adding to 2065420032 its reverse (2300245602), we get a palindrome (4365665634).

The spelling of 2065420032 in words is "two billion, sixty-five million, four hundred twenty thousand, thirty-two".