2248561679232 has 256 divisors, whose sum is σ = 6745549777920. Its totient is φ = 657745182720.

The previous prime is 2248561679219. The next prime is 2248561679239. The reversal of 2248561679232 is 2329761658422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248561679239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14414968 + ... + 14570120.

It is an arithmetic number, because the mean of its divisors is an integer number (26349803820).

Almost surely, 2^{2248561679232} is an apocalyptic number.

2248561679232 is a gapful number since it is divisible by the number (22) 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 2248561679232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372774888960).

2248561679232 is an abundant number, since it is smaller than the sum of its proper divisors (4496988098688).

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

2248561679232 is a wasteful number, since it uses less digits than its factorization.

2248561679232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155301 (or 155289 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 2248561679232 in words is "two trillion, two hundred forty-eight billion, five hundred sixty-one million, six hundred seventy-nine thousand, two hundred thirty-two".