2205426964624 has 45 divisors (see below), whose sum is σ = 4627154317593. Its totient is φ = 1017853726656.

The previous prime is 2205426964597. The next prime is 2205426964669. The reversal of 2205426964624 is 4264696245022.

The square root of 2205426964624 is 1485068.

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

It can be written as a sum of positive squares in only one way, i.e., 326246592400 + 1879180372224 = 571180^2 + 1370832^2 .

It is a super-2 number, since 2×2205426964624² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 77209257 + ... + 77237815.

Almost surely, 2^{2205426964624} is an apocalyptic number.

2205426964624 is the 1485068-th square number.

It is an amenable number.

2205426964624 is an abundant number, since it is smaller than the sum of its proper divisors (2421727352969).

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

2205426964624 is an frugal number, since it uses more digits than its factorization.

2205426964624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57152 (or 28574 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 52.

The spelling of 2205426964624 in words is "two trillion, two hundred five billion, four hundred twenty-six million, nine hundred sixty-four thousand, six hundred twenty-four".