2229762513888 has 864 divisors, whose sum is σ = 8253644345856. Its totient is φ = 554989805568.

The previous prime is 2229762513841. The next prime is 2229762513931. The reversal of 2229762513888 is 8883152679222.

It is a happy number.

2229762513888 is a `hidden beast` number, since 2 + 22 + 97 + 6 + 2 + 513 + 8 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4774651831 + ... + 4774652297.

It is an arithmetic number, because the mean of its divisors is an integer number (9552829104).

Almost surely, 2^{2229762513888} is an apocalyptic number.

2229762513888 is a gapful number since it is divisible by the number (28) 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 2229762513888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126822172928).

2229762513888 is an abundant number, since it is smaller than the sum of its proper divisors (6023881831968).

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

2229762513888 is a wasteful number, since it uses less digits than its factorization.

2229762513888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 604 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 2229762513888 in words is "two trillion, two hundred twenty-nine billion, seven hundred sixty-two million, five hundred thirteen thousand, eight hundred eighty-eight".