2248041600 has 864 divisors, whose sum is σ = 9840776400. Its totient is φ = 505128960.

The previous prime is 2248041599. The next prime is 2248041611. The reversal of 2248041600 is 61408422.

2248041600 is a `hidden beast` number, since 2 + 248 + 0 + 416 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 38102371 + ... + 38102429.

Almost surely, 2^2248041600 is an apocalyptic number.

2248041600 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 2248041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4920388200).

2248041600 is an abundant number, since it is smaller than the sum of its proper divisors (7592734800).

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

2248041600 is an equidigital number, since it uses as much as digits as its factorization.

2248041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2248041600 is about 47413.5170600115. The cubic root of 2248041600 is about 1309.9904045293.

The spelling of 2248041600 in words is "two billion, two hundred forty-eight million, forty-one thousand, six hundred".