2146511340000 has 1680 divisors, whose sum is σ = 8534062750752. Its totient is φ = 529638912000.

The previous prime is 2146511339981. The next prime is 2146511340011. The reversal of 2146511340000 is 431156412.

It is a happy number.

2146511340000 is a `hidden beast` number, since 2 + 1 + 4 + 651 + 1 + 3 + 4 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 12407579914 + ... + 12407580086.

Almost surely, 2^{2146511340000} is an apocalyptic number.

2146511340000 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 2146511340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267031375376).

2146511340000 is an abundant number, since it is smaller than the sum of its proper divisors (6387551410752).

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

2146511340000 is an equidigital number, since it uses as much as digits as its factorization.

2146511340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 243 counting only the distinct ones).

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

Adding to 2146511340000 its reverse (431156412), we get a palindrome (2146942496412).

The spelling of 2146511340000 in words is "two trillion, one hundred forty-six billion, five hundred eleven million, three hundred forty thousand".