2140216334460 has 144 divisors (see below), whose sum is σ = 6598642561056. Its totient is φ = 561373502976.

The previous prime is 2140216334429. The next prime is 2140216334489. The reversal of 2140216334460 is 644336120412.

2140216334460 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 2 + 163 + 34 + 460 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 8033554 + ... + 8295686.

It is an arithmetic number, because the mean of its divisors is an integer number (45823906674).

Almost surely, 2^{2140216334460} is an apocalyptic number.

2140216334460 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 2140216334460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299321280528).

2140216334460 is an abundant number, since it is smaller than the sum of its proper divisors (4458426226596).

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

2140216334460 is a wasteful number, since it uses less digits than its factorization.

2140216334460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262892 (or 262887 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 214021 and 6334460, that added together give a square (6548481 = 2559²).

The spelling of 2140216334460 in words is "two trillion, one hundred forty billion, two hundred sixteen million, three hundred thirty-four thousand, four hundred sixty".