2263648996224 has 768 divisors, whose sum is σ = 8497047820800. Its totient is φ = 587899192320.

The previous prime is 2263648996187. The next prime is 2263648996229. The reversal of 2263648996224 is 4226998463622.

It is a happy number.

2263648996224 is a `hidden beast` number, since 2 + 2 + 63 + 6 + 489 + 96 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263648996229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237101019 + ... + 237110565.

It is an arithmetic number, because the mean of its divisors is an integer number (11063864350).

Almost surely, 2^{2263648996224} is an apocalyptic number.

2263648996224 is a gapful number since it is divisible by the number (24) 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 2263648996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248523910400).

2263648996224 is an abundant number, since it is smaller than the sum of its proper divisors (6233398824576).

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

2263648996224 is an frugal number, since it uses more digits than its factorization.

2263648996224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9611 (or 9570 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 63.

The spelling of 2263648996224 in words is "two trillion, two hundred sixty-three billion, six hundred forty-eight million, nine hundred ninety-six thousand, two hundred twenty-four".