2065292328960 has 1140 divisors, whose sum is σ = 8635025764332. Its totient is φ = 470877732864.

The previous prime is 2065292328943. The next prime is 2065292328961. The reversal of 2065292328960 is 698232925602.

2065292328960 is a `hidden beast` number, since 2 + 0 + 6 + 529 + 2 + 3 + 28 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1065420324864 + 999872004096 = 1032192^2 + 999936^2 .

It is a super-2 number, since 2×2065292328960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2065292328897 and 2065292328906.

It is not an unprimeable number, because it can be changed into a prime (2065292328961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5202247482 + ... + 5202247878.

Almost surely, 2^{2065292328960} is an apocalyptic number.

2065292328960 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 2065292328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317512882166).

2065292328960 is an abundant number, since it is smaller than the sum of its proper divisors (6569733435372).

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

2065292328960 is an frugal number, since it uses more digits than its factorization.

2065292328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2065292328960 in words is "two trillion, sixty-five billion, two hundred ninety-two million, three hundred twenty-eight thousand, nine hundred sixty".