2270298576001 has 27 divisors (see below), whose sum is σ = 2356637370633. Its totient is φ = 2187079211520.

The previous prime is 2270298575999. The next prime is 2270298576019. The reversal of 2270298576001 is 1006758920722.

The square root of 2270298576001 is 1506751.

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

It can be written as a sum of positive squares in 4 ways, for example, as 76285887601 + 2194012688400 = 276199^2 + 1481220^2 .

It is not a de Polignac number, because 2270298576001 - 2¹ = 2270298575999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2270298586001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10759708786 + ... + 10759708996.

It is an arithmetic number, because the mean of its divisors is an integer number (87282865579).

Almost surely, 2^{2270298576001} is an apocalyptic number.

2270298576001 is the 1506751-st square number.

2270298576001 is the 753376-th centered octagonal number.

It is an amenable number.

2270298576001 is a deficient number, since it is larger than the sum of its proper divisors (86338794632).

2270298576001 is an frugal number, since it uses more digits than its factorization.

2270298576001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 2270298576001 by its sum of digits (49), we get a square (111244630224049 = 10547257²).

The spelling of 2270298576001 in words is "two trillion, two hundred seventy billion, two hundred ninety-eight million, five hundred seventy-six thousand, one".