2248152330240 has 624 divisors, whose sum is σ = 8556950027808. Its totient is φ = 564220919808.

The previous prime is 2248152330191. The next prime is 2248152330251. The reversal of 2248152330240 is 420332518422.

2248152330240 is a `hidden beast` number, since 2 + 2 + 4 + 81 + 5 + 2 + 330 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2248152330195 and 2248152330204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84589594 + ... + 84616166.

It is an arithmetic number, because the mean of its divisors is an integer number (13713060942).

Almost surely, 2^{2248152330240} is an apocalyptic number.

2248152330240 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 2248152330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278475013904).

2248152330240 is an abundant number, since it is smaller than the sum of its proper divisors (6308797697568).

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

2248152330240 is an equidigital number, since it uses as much as digits as its factorization.

2248152330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26634 (or 26600 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 2248152330240 its reverse (420332518422), we get a palindrome (2668484848662).

The spelling of 2248152330240 in words is "two trillion, two hundred forty-eight billion, one hundred fifty-two million, three hundred thirty thousand, two hundred forty".