2248031180640 has 1152 divisors, whose sum is σ = 8871518960640. Its totient is φ = 475671232512.

The previous prime is 2248031180579. The next prime is 2248031180651. The reversal of 2248031180640 is 460811308422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4469246629 + ... + 4469247131.

It is an arithmetic number, because the mean of its divisors is an integer number (7700971320).

Almost surely, 2^{2248031180640} is an apocalyptic number.

2248031180640 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 2248031180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435759480320).

2248031180640 is an abundant number, since it is smaller than the sum of its proper divisors (6623487780000).

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

2248031180640 is a wasteful number, since it uses less digits than its factorization.

2248031180640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 2248031180640 in words is "two trillion, two hundred forty-eight billion, thirty-one million, one hundred eighty thousand, six hundred forty".