2296164142800 has 480 divisors, whose sum is σ = 9303257410560. Its totient is φ = 532443225600.

The previous prime is 2296164142793. The next prime is 2296164142801. The reversal of 2296164142800 is 82414616922.

It is a happy number.

2296164142800 is a `hidden beast` number, since 2 + 2 + 9 + 616 + 4 + 1 + 4 + 28 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296164142801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2312227 + ... + 3152573.

It is an arithmetic number, because the mean of its divisors is an integer number (19381786272).

Almost surely, 2^{2296164142800} is an apocalyptic number.

2296164142800 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 2296164142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651628705280).

2296164142800 is an abundant number, since it is smaller than the sum of its proper divisors (7007093267760).

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

2296164142800 is a wasteful number, since it uses less digits than its factorization.

2296164142800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840408 (or 840391 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2296164142800 in words is "two trillion, two hundred ninety-six billion, one hundred sixty-four million, one hundred forty-two thousand, eight hundred".