2141314560000 has 3120 divisors, whose sum is σ = 10346835552768. Its totient is φ = 412876800000.

The previous prime is 2141314559981. The next prime is 2141314560043. The reversal of 2141314560000 is 654131412.

It is a happy number.

2141314560000 is a `hidden beast` number, since 2 + 1 + 4 + 13 + 1 + 45 + 600 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30159359965 + ... + 30159360035.

Almost surely, 2^{2141314560000} is an apocalyptic number.

2141314560000 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 2141314560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173417776384).

2141314560000 is an abundant number, since it is smaller than the sum of its proper divisors (8205520992768).

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

2141314560000 is a wasteful number, since it uses less digits than its factorization.

2141314560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2141314560000 its reverse (654131412), we get a palindrome (2141968691412).

The spelling of 2141314560000 in words is "two trillion, one hundred forty-one billion, three hundred fourteen million, five hundred sixty thousand".