2154312115200 has 2112 divisors, whose sum is σ = 9544257699840. Its totient is φ = 465813504000.

The previous prime is 2154312115159. The next prime is 2154312115237. The reversal of 2154312115200 is 25112134512.

It is a happy number.

2154312115200 is a `hidden beast` number, since 2 + 1 + 5 + 431 + 21 + 1 + 5 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7949491065 + ... + 7949491335.

Almost surely, 2^{2154312115200} is an apocalyptic number.

2154312115200 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 2154312115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772128849920).

2154312115200 is an abundant number, since it is smaller than the sum of its proper divisors (7389945584640).

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

2154312115200 is a wasteful number, since it uses less digits than its factorization.

2154312115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 2154312115200 its reverse (25112134512), we get a palindrome (2179424249712).

The spelling of 2154312115200 in words is "two trillion, one hundred fifty-four billion, three hundred twelve million, one hundred fifteen thousand, two hundred".