2248531912440 has 320 divisors, whose sum is σ = 8420040668160. Its totient is φ = 533500404480.

The previous prime is 2248531912421. The next prime is 2248531912463. The reversal of 2248531912440 is 442191358422.

2248531912440 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 531 + 91 + 24 + 4 + 0 = 666.

It is a super-2 number, since 2×2248531912440² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1003909 + ... + 2346251.

It is an arithmetic number, because the mean of its divisors is an integer number (26312627088).

Almost surely, 2^{2248531912440} is an apocalyptic number.

2248531912440 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 2248531912440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210020334080).

2248531912440 is an abundant number, since it is smaller than the sum of its proper divisors (6171508755720).

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

2248531912440 is a wasteful number, since it uses less digits than its factorization.

2248531912440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342424 (or 1342411 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2248531912440 in words is "two trillion, two hundred forty-eight billion, five hundred thirty-one million, nine hundred twelve thousand, four hundred forty".