2065264542 has 72 divisors (see below), whose sum is σ = 4935949200. Its totient is φ = 623620800.

The previous prime is 2065264541. The next prime is 2065264559. The reversal of 2065264542 is 2454625602.

2065264542 is a `hidden beast` number, since 2 + 0 + 6 + 5 + 2 + 645 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2065264497 and 2065264506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2065264541) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 675834 + ... + 678882.

It is an arithmetic number, because the mean of its divisors is an integer number (68554850).

Almost surely, 2^2065264542 is an apocalyptic number.

2065264542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2065264542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467974600).

2065264542 is an abundant number, since it is smaller than the sum of its proper divisors (2870684658).

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

2065264542 is a wasteful number, since it uses less digits than its factorization.

2065264542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 2065264542 is about 45445.1817247989. The cubic root of 2065264542 is about 1273.4793182740.

The spelling of 2065264542 in words is "two billion, sixty-five million, two hundred sixty-four thousand, five hundred forty-two".