2134543881600 has 1152 divisors, whose sum is σ = 9007314432480. Its totient is φ = 494478950400.

The previous prime is 2134543881593. The next prime is 2134543881611. The reversal of 2134543881600 is 61883454312.

2134543881600 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 5 + 4 + 38 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171843390 + ... + 171855810.

Almost surely, 2^{2134543881600} is an apocalyptic number.

2134543881600 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 2134543881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503657216240).

2134543881600 is an abundant number, since it is smaller than the sum of its proper divisors (6872770550880).

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

2134543881600 is a wasteful number, since it uses less digits than its factorization.

2134543881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12490 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2134543881600 in words is "two trillion, one hundred thirty-four billion, five hundred forty-three million, eight hundred eighty-one thousand, six hundred".