2114972467200 has 810 divisors, whose sum is σ = 7877054028116. Its totient is φ = 563276021760.

The previous prime is 2114972467187. The next prime is 2114972467211. The reversal of 2114972467200 is 27642794112.

2114972467200 is a `hidden beast` number, since 2 + 114 + 9 + 72 + 467 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (810).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2687385207 + ... + 2687385993.

Almost surely, 2^{2114972467200} is an apocalyptic number.

2114972467200 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 2114972467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938527014058).

2114972467200 is an abundant number, since it is smaller than the sum of its proper divisors (5762081560916).

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

2114972467200 is an frugal number, since it uses more digits than its factorization.

2114972467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2114972467200 in words is "two trillion, one hundred fourteen billion, nine hundred seventy-two million, four hundred sixty-seven thousand, two hundred".