2219721556129 has 45 divisors (see below), whose sum is σ = 2841935600385. Its totient is φ = 1728669844440.

The previous prime is 2219721556127. The next prime is 2219721556133. The reversal of 2219721556129 is 9216551279122.

The square root of 2219721556129 is 1489873.

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

It is not a de Polignac number, because 2219721556129 - 2¹ = 2219721556127 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2219721556127) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1261921552 + ... + 1261923310.

It is an arithmetic number, because the mean of its divisors is an integer number (63154124453).

Almost surely, 2^{2219721556129} is an apocalyptic number.

2219721556129 is the 1489873-rd square number.

2219721556129 is the 744937-th centered octagonal number.

It is an amenable number.

2219721556129 is a deficient number, since it is larger than the sum of its proper divisors (622214044256).

2219721556129 is an frugal number, since it uses more digits than its factorization.

2219721556129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 1777 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 52.

The spelling of 2219721556129 in words is "two trillion, two hundred nineteen billion, seven hundred twenty-one million, five hundred fifty-six thousand, one hundred twenty-nine".