2220752667961 has 27 divisors (see below), whose sum is σ = 2283917446629. Its totient is φ = 2159327331000.

The previous prime is 2220752667919. The next prime is 2220752667967. The reversal of 2220752667961 is 1697662570222.

It is a happy number.

The square root of 2220752667961 is 1490219.

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

It is not a de Polignac number, because 2220752667961 - 2¹¹ = 2220752665913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2220752667967) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 14706971236 + ... + 14706971386.

Almost surely, 2^{2220752667961} is an apocalyptic number.

2220752667961 is the 1490219-th square number.

2220752667961 is the 745110-th centered octagonal number.

It is an amenable number.

2220752667961 is a deficient number, since it is larger than the sum of its proper divisors (63164778668).

2220752667961 is an frugal number, since it uses more digits than its factorization.

2220752667961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 2220752667961 in words is "two trillion, two hundred twenty billion, seven hundred fifty-two million, six hundred sixty-seven thousand, nine hundred sixty-one".