2249560563840 has 448 divisors, whose sum is σ = 8234730552960. Its totient is φ = 587113629696.

The previous prime is 2249560563829. The next prime is 2249560563841. The reversal of 2249560563840 is 483650659422.

2249560563840 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 560 + 5 + 6 + 38 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2249560563841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21877027 + ... + 21979613.

Almost surely, 2^{2249560563840} is an apocalyptic number.

2249560563840 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 2249560563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117365276480).

2249560563840 is an abundant number, since it is smaller than the sum of its proper divisors (5985169989120).

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

2249560563840 is an equidigital number, since it uses as much as digits as its factorization.

2249560563840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102671 (or 102644 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2249560563840 in words is "two trillion, two hundred forty-nine billion, five hundred sixty million, five hundred sixty-three thousand, eight hundred forty".