2067245835264 has 297 divisors, whose sum is σ = 6348112620811. Its totient is φ = 647811563520.

The previous prime is 2067245835251. The next prime is 2067245835293. The reversal of 2067245835264 is 4625385427602.

The square root of 2067245835264 is 1437792.

It is a perfect power (a square), and thus also a powerful number.

2067245835264 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 2 + 4 + 583 + 52 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6895641600 + 2060350193664 = 83040^2 + 1435392^2 .

It is a super-3 number, since 3×2067245835264³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2067245835264.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2346476104 + ... + 2346476984.

Almost surely, 2^{2067245835264} is an apocalyptic number.

2067245835264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2067245835264 is the 1437792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2067245835264

2067245835264 is an abundant number, since it is smaller than the sum of its proper divisors (4280866785547).

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

2067245835264 is an frugal number, since it uses more digits than its factorization.

2067245835264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 2067245835264 in words is "two trillion, sixty-seven billion, two hundred forty-five million, eight hundred thirty-five thousand, two hundred sixty-four".