2248634096640 has 704 divisors, whose sum is σ = 8495154806400. Its totient is φ = 562106990592.

The previous prime is 2248634096609. The next prime is 2248634096641. The reversal of 2248634096640 is 466904368422.

2248634096640 is a `hidden beast` number, since 2 + 2 + 486 + 34 + 0 + 96 + 6 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248634096641) 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, 632169742 + ... + 632173298.

Almost surely, 2^{2248634096640} is an apocalyptic number.

2248634096640 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 2248634096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247577403200).

2248634096640 is an abundant number, since it is smaller than the sum of its proper divisors (6246520709760).

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

2248634096640 is a wasteful number, since it uses less digits than its factorization.

2248634096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 2248634096640 in words is "two trillion, two hundred forty-eight billion, six hundred thirty-four million, ninety-six thousand, six hundred forty".