2212064264601 has 81 divisors (see below), whose sum is σ = 3420060947901. Its totient is φ = 1377550084608.

The previous prime is 2212064264587. The next prime is 2212064264629. The reversal of 2212064264601 is 1064624602122.

The square root of 2212064264601 is 1487301.

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

2212064264601 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 0 + 6 + 4 + 2 + 646 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 658361846025 + 1553702418576 = 811395^2 + 1246476^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2212064264601 is a prime.

It is a super-3 number, since 3×2212064264601³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2212064264671) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8223287095 + ... + 8223287363.

Almost surely, 2^{2212064264601} is an apocalyptic number.

2212064264601 is the 1487301-st square number.

2212064264601 is the 743651-st centered octagonal number.

It is an amenable number.

2212064264601 is a deficient number, since it is larger than the sum of its proper divisors (1207996683300).

2212064264601 is an frugal number, since it uses more digits than its factorization.

2212064264601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 2212064264601 by its sum of digits (36), we get a square (79634313525636 = 8923806²).

Adding to 2212064264601 its reverse (1064624602122), we get a palindrome (3276688866723).

The spelling of 2212064264601 in words is "two trillion, two hundred twelve billion, sixty-four million, two hundred sixty-four thousand, six hundred one".