2152234304000 has 640 divisors, whose sum is σ = 6094474214400. Its totient is φ = 750919680000.

The previous prime is 2152234303997. The next prime is 2152234304063. The reversal of 2152234304000 is 4034322512.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2152234304000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5532735806 + ... + 5532736194.

It is an arithmetic number, because the mean of its divisors is an integer number (9522615960).

Almost surely, 2^{2152234304000} is an apocalyptic number.

2152234304000 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 2152234304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047237107200).

2152234304000 is an abundant number, since it is smaller than the sum of its proper divisors (3942239910400).

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

2152234304000 is a wasteful number, since it uses less digits than its factorization.

2152234304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 2152234304000 its reverse (4034322512), we get a palindrome (2156268626512).

The spelling of 2152234304000 in words is "two trillion, one hundred fifty-two billion, two hundred thirty-four million, three hundred four thousand".