2152001894400 has 864 divisors, whose sum is σ = 8151615763200. Its totient is φ = 541060300800.

The previous prime is 2152001894377. The next prime is 2152001894407. The reversal of 2152001894400 is 44981002512.

2152001894400 is a `hidden beast` number, since 2 + 1 + 5 + 200 + 1 + 8 + 9 + 440 + 0 = 666.

It is a super-2 number, since 2×2152001894400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152001894407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2372658747 + ... + 2372659653.

Almost surely, 2^{2152001894400} is an apocalyptic number.

2152001894400 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 2152001894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075807881600).

2152001894400 is an abundant number, since it is smaller than the sum of its proper divisors (5999613868800).

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

2152001894400 is a wasteful number, since it uses less digits than its factorization.

2152001894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 2152001894400 its reverse (44981002512), we get a palindrome (2196982896912).

The spelling of 2152001894400 in words is "two trillion, one hundred fifty-two billion, one million, eight hundred ninety-four thousand, four hundred".