2248144074288 has 240 divisors, whose sum is σ = 7509058184160. Its totient is φ = 642112966656.

The previous prime is 2248144074263. The next prime is 2248144074299. The reversal of 2248144074288 is 8824704418422.

2248144074288 is a `hidden beast` number, since 2 + 2 + 4 + 81 + 440 + 7 + 42 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 70113556 + ... + 70145612.

It is an arithmetic number, because the mean of its divisors is an integer number (31287742434).

Almost surely, 2^{2248144074288} is an apocalyptic number.

2248144074288 is a gapful number since it is divisible by the number (28) 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 2248144074288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754529092080).

2248144074288 is an abundant number, since it is smaller than the sum of its proper divisors (5260914109872).

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

2248144074288 is a wasteful number, since it uses less digits than its factorization.

2248144074288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35401 (or 35382 counting only the distinct ones).

The product of its (nonzero) digits is 7340032, while the sum is 54.

The spelling of 2248144074288 in words is "two trillion, two hundred forty-eight billion, one hundred forty-four million, seventy-four thousand, two hundred eighty-eight".