2248359120 has 600 divisors, whose sum is σ = 9303170184. Its totient is φ = 501645312.

The previous prime is 2248359119. The next prime is 2248359121. The reversal of 2248359120 is 219538422.

It is a happy number.

2248359120 is a `hidden beast` number, since 2 + 2 + 48 + 3 + 591 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (2248359119) and next prime (2248359121).

It can be written as a sum of positive squares in 4 ways, for example, as 236298384 + 2012060736 = 15372^2 + 44856^2 .

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 (2248359121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23178912 + ... + 23179008.

Almost surely, 2^2248359120 is an apocalyptic number.

2248359120 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 2248359120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651585092).

2248359120 is an abundant number, since it is smaller than the sum of its proper divisors (7054811064).

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

2248359120 is a wasteful number, since it uses less digits than its factorization.

2248359120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2248359120 is about 47416.8653540067. The cubic root of 2248359120 is about 1310.0520772569.

The spelling of 2248359120 in words is "two billion, two hundred forty-eight million, three hundred fifty-nine thousand, one hundred twenty".