2298249676800 has 1728 divisors, whose sum is σ = 10646318592000. Its totient is φ = 477359308800.

The previous prime is 2298249676783. The next prime is 2298249676867. The reversal of 2298249676800 is 86769428922.

2298249676800 is a `hidden beast` number, since 2 + 2 + 9 + 82 + 496 + 7 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×2298249676800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 958002001 + ... + 958004399.

It is an arithmetic number, because the mean of its divisors is an integer number (6161064000).

Almost surely, 2^{2298249676800} is an apocalyptic number.

2298249676800 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 2298249676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323159296000).

2298249676800 is an abundant number, since it is smaller than the sum of its proper divisors (8348068915200).

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

2298249676800 is a wasteful number, since it uses less digits than its factorization.

2298249676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 2298249676800 in words is "two trillion, two hundred ninety-eight billion, two hundred forty-nine million, six hundred seventy-six thousand, eight hundred".