2284744401 has 45 divisors (see below), whose sum is σ = 3518308651. Its totient is φ = 1477562688.

The previous prime is 2284744391. The next prime is 2284744411. The reversal of 2284744401 is 1044474822.

The square root of 2284744401 is 47799.

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

It is an interprime number because it is at equal distance from previous prime (2284744391) and next prime (2284744411).

It can be written as a sum of positive squares in only one way, i.e., 40259025 + 2244485376 = 6345^2 + 47376^2 .

It is not a de Polignac number, because 2284744401 - 2⁵ = 2284744369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2284744411) 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, 20218921 + ... + 20219033.

Almost surely, 2^2284744401 is an apocalyptic number.

2284744401 is the 47799-th square number.

2284744401 is the 23900-th centered octagonal number.

It is an amenable number.

2284744401 is a deficient number, since it is larger than the sum of its proper divisors (1233564250).

2284744401 is an frugal number, since it uses more digits than its factorization.

2284744401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The cubic root of 2284744401 is about 1317.0811693374.

Multiplying 2284744401 by its sum of digits (36), we get a square (82250798436 = 286794²).

The spelling of 2284744401 in words is "two billion, two hundred eighty-four million, seven hundred forty-four thousand, four hundred one".