2298468681000 has 384 divisors, whose sum is σ = 8025623424000. Its totient is φ = 592695360000.

The previous prime is 2298468680983. The next prime is 2298468681029. The reversal of 2298468681000 is 1868648922.

2298468681000 is a `hidden beast` number, since 22 + 98 + 468 + 68 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×2298468681000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505266726 + ... + 505271274.

It is an arithmetic number, because the mean of its divisors is an integer number (20900061000).

Almost surely, 2^{2298468681000} is an apocalyptic number.

2298468681000 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 2298468681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012811712000).

2298468681000 is an abundant number, since it is smaller than the sum of its proper divisors (5727154743000).

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

2298468681000 is a wasteful number, since it uses less digits than its factorization.

2298468681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 2298468681000 in words is "two trillion, two hundred ninety-eight billion, four hundred sixty-eight million, six hundred eighty-one thousand".