2298916880568 has 768 divisors, whose sum is σ = 8169258240000. Its totient is φ = 578546841600.

The previous prime is 2298916880539. The next prime is 2298916880587. The reversal of 2298916880568 is 8650886198922.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2298916880496 and 2298916880505.

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, 4412508148 + ... + 4412508668.

It is an arithmetic number, because the mean of its divisors is an integer number (10637055000).

Almost surely, 2^{2298916880568} is an apocalyptic number.

2298916880568 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 2298916880568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084629120000).

2298916880568 is an abundant number, since it is smaller than the sum of its proper divisors (5870341359432).

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

2298916880568 is a wasteful number, since it uses less digits than its factorization.

2298916880568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 2298916880568 in words is "two trillion, two hundred ninety-eight billion, nine hundred sixteen million, eight hundred eighty thousand, five hundred sixty-eight".