2279952022401 has 9 divisors (see below), whose sum is σ = 3293270575491. Its totient is φ = 1519964995032.

The previous prime is 2279952022391. The next prime is 2279952022409. The reversal of 2279952022401 is 1042202599722.

The square root of 2279952022401 is 1509951.

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., 5658800625 + 2274293221776 = 75225^2 + 1508076^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2279952022401 - 2¹³ = 2279952014209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2279952022409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4278195 + ... + 4781511.

Almost surely, 2^{2279952022401} is an apocalyptic number.

2279952022401 is the 1509951-st square number.

2279952022401 is the 754976-th centered octagonal number.

It is an amenable number.

2279952022401 is a deficient number, since it is larger than the sum of its proper divisors (1013318553090).

2279952022401 is an frugal number, since it uses more digits than its factorization.

2279952022401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006640 (or 503320 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2279952022401 in words is "two trillion, two hundred seventy-nine billion, nine hundred fifty-two million, twenty-two thousand, four hundred one".