2134452211200 has 960 divisors, whose sum is σ = 8163017533440. Its totient is φ = 545771520000.

The previous prime is 2134452211153. The next prime is 2134452211201. The reversal of 2134452211200 is 21122544312.

2134452211200 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 452 + 2 + 1 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134452211201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 907890025 + ... + 907892375.

It is an arithmetic number, because the mean of its divisors is an integer number (8503143264).

Almost surely, 2^{2134452211200} is an apocalyptic number.

2134452211200 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 2134452211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081508766720).

2134452211200 is an abundant number, since it is smaller than the sum of its proper divisors (6028565322240).

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

2134452211200 is a wasteful number, since it uses less digits than its factorization.

2134452211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2134452211200 its reverse (21122544312), we get a palindrome (2155574755512).

The spelling of 2134452211200 in words is "two trillion, one hundred thirty-four billion, four hundred fifty-two million, two hundred eleven thousand, two hundred".