2152324350400 has 168 divisors, whose sum is σ = 6058246025216. Its totient is φ = 737256729600.

The previous prime is 2152324350391. The next prime is 2152324350419. The reversal of 2152324350400 is 40534232512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12086005 + ... + 12262795.

Almost surely, 2^{2152324350400} is an apocalyptic number.

2152324350400 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 2152324350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029123012608).

2152324350400 is an abundant number, since it is smaller than the sum of its proper divisors (3905921674816).

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

2152324350400 is a wasteful number, since it uses less digits than its factorization.

2152324350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177907 (or 177892 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 2152324350400 its reverse (40534232512), we get a palindrome (2192858582912).

It can be divided in two parts, 2152324 and 350400, that added together give a square (2502724 = 1582²).

The spelling of 2152324350400 in words is "two trillion, one hundred fifty-two billion, three hundred twenty-four million, three hundred fifty thousand, four hundred".