2248162560 has 288 divisors, whose sum is σ = 9118529280. Its totient is φ = 513810432.

The previous prime is 2248162549. The next prime is 2248162561. The reversal of 2248162560 is 652618422.

It is a happy number.

2248162560 is a `hidden beast` number, since 2 + 24 + 8 + 1 + 625 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248162561) 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, 237274 + ... + 246566.

It is an arithmetic number, because the mean of its divisors is an integer number (31661560).

Almost surely, 2^2248162560 is an apocalyptic number.

2248162560 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 2248162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559264640).

2248162560 is an abundant number, since it is smaller than the sum of its proper divisors (6870366720).

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

2248162560 is an equidigital number, since it uses as much as digits as its factorization.

2248162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9330 (or 9310 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2248162560 is about 47414.7926284614. The cubic root of 2248162560 is about 1310.0138995864.

The spelling of 2248162560 in words is "two billion, two hundred forty-eight million, one hundred sixty-two thousand, five hundred sixty".