2296834600320 has 1152 divisors, whose sum is σ = 9196932326400. Its totient is φ = 546942689280.

The previous prime is 2296834600211. The next prime is 2296834600369. The reversal of 2296834600320 is 230064386922.

It is a happy number.

2296834600320 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 8 + 3 + 4 + 600 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 814767871 + ... + 814770689.

It is an arithmetic number, because the mean of its divisors is an integer number (7983448200).

Almost surely, 2^{2296834600320} is an apocalyptic number.

2296834600320 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 2296834600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598466163200).

2296834600320 is an abundant number, since it is smaller than the sum of its proper divisors (6900097726080).

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

2296834600320 is a wasteful number, since it uses less digits than its factorization.

2296834600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2296834600320 in words is "two trillion, two hundred ninety-six billion, eight hundred thirty-four million, six hundred thousand, three hundred twenty".