2220305624761 has 9 divisors (see below), whose sum is σ = 2582816635749. Its totient is φ = 1903110166524.

The previous prime is 2220305624743. The next prime is 2220305624813. The reversal of 2220305624761 is 1674265030222.

It is a happy number.

The square root of 2220305624761 is 1490069.

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

It is not a de Polignac number, because 2220305624761 - 2¹³ = 2220305616569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2220305624731) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10324050 + ... + 10536916.

Almost surely, 2^{2220305624761} is an apocalyptic number.

2220305624761 is the 1490069-th square number.

2220305624761 is the 745035-th centered octagonal number.

It is an amenable number.

2220305624761 is a deficient number, since it is larger than the sum of its proper divisors (362511010988).

2220305624761 is an frugal number, since it uses more digits than its factorization.

2220305624761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425748 (or 212874 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 2220305624761 in words is "two trillion, two hundred twenty billion, three hundred five million, six hundred twenty-four thousand, seven hundred sixty-one".