2240584573248 has 448 divisors, whose sum is σ = 8317277061120. Its totient is φ = 576312827904.

The previous prime is 2240584573247. The next prime is 2240584573309. The reversal of 2240584573248 is 8423754850422.

2240584573248 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 584 + 57 + 3 + 2 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 2240584573194 and 2240584573203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240584573247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4492665 + ... + 4966407.

Almost surely, 2^{2240584573248} is an apocalyptic number.

2240584573248 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 2240584573248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158638530560).

2240584573248 is an abundant number, since it is smaller than the sum of its proper divisors (6076692487872).

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

2240584573248 is a wasteful number, since it uses less digits than its factorization.

2240584573248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473811 (or 473795 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 2240584573248 in words is "two trillion, two hundred forty billion, five hundred eighty-four million, five hundred seventy-three thousand, two hundred forty-eight".