2134312286400 has 2100 divisors, whose sum is σ = 9660563513480. Its totient is φ = 462166871040.

The previous prime is 2134312286363. The next prime is 2134312286411. The reversal of 2134312286400 is 46822134312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2134312286400 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 3 + 1 + 2 + 2 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2100).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 19950 × 5586 × 19152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 112332225591 + ... + 112332225609.

Almost surely, 2^{2134312286400} is an apocalyptic number.

2134312286400 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 2134312286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830281756740).

2134312286400 is an abundant number, since it is smaller than the sum of its proper divisors (7526251227080).

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

2134312286400 is an frugal number, since it uses more digits than its factorization.

2134312286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 2134312286400 in words is "two trillion, one hundred thirty-four billion, three hundred twelve million, two hundred eighty-six thousand, four hundred".