2248586280 has 96 divisors (see below), whose sum is σ = 7334613000. Its totient is φ = 597431808.

The previous prime is 2248586239. The next prime is 2248586299. The reversal of 2248586280 is 826858422.

2248586280 is a `hidden beast` number, since 2 + 2 + 48 + 586 + 28 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2056985316 + 191600964 = 45354^2 + 13842^2 .

It is a super-2 number, since 2×2248586280² = 10112280517208476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88446 + ... + 110994.

Almost surely, 2^2248586280 is an apocalyptic number.

2248586280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2248586280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667306500).

2248586280 is an abundant number, since it is smaller than the sum of its proper divisors (5086026720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2248586280 is a wasteful number, since it uses less digits than its factorization.

2248586280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22843 (or 22836 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 2248586280 is about 47419.2606437511. The cubic root of 2248586280 is about 1310.0961955660.

The spelling of 2248586280 in words is "two billion, two hundred forty-eight million, five hundred eighty-six thousand, two hundred eighty".