2280284137 has 32 divisors (see below), whose sum is σ = 2563801632. Its totient is φ = 2018525184.

The previous prime is 2280284117. The next prime is 2280284177. The reversal of 2280284137 is 7314820822.

It can be written as a sum of positive squares in 16 ways, for example, as 48288601 + 2231995536 = 6949^2 + 47244^2 .

It is a 5-Lehmer number, since φ(2280284137) divides (2280284137-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 2280284137 - 2³¹ = 132800489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 2280284096 and 2280284105.

It is not an unprimeable number, because it can be changed into a prime (2280284117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433133 + ... + 2434069.

It is an arithmetic number, because the mean of its divisors is an integer number (80118801).

It is a Poulet number, since it divides 2^2280284136-1.

Almost surely, 2^2280284137 is an apocalyptic number.

It is an amenable number.

2280284137 is a deficient number, since it is larger than the sum of its proper divisors (283517495).

2280284137 is a wasteful number, since it uses less digits than its factorization.

2280284137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117.

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 2280284137 is about 47752.3207498861. The cubic root of 2280284137 is about 1316.2235450865.

The spelling of 2280284137 in words is "two billion, two hundred eighty million, two hundred eighty-four thousand, one hundred thirty-seven".