2166245456340 has 192 divisors, whose sum is σ = 7064228795904. Its totient is φ = 485699715072.

The previous prime is 2166245456329. The next prime is 2166245456363. The reversal of 2166245456340 is 436545426612.

It is a super-2 number, since 2×2166245456340² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2166245456340.

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 63 ways as a sum of consecutive naturals, for example, 186466212 + ... + 186477828.

It is an arithmetic number, because the mean of its divisors is an integer number (36792858312).

Almost surely, 2^{2166245456340} is an apocalyptic number.

2166245456340 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 2166245456340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532114397952).

2166245456340 is an abundant number, since it is smaller than the sum of its proper divisors (4897983339564).

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

2166245456340 is a wasteful number, since it uses less digits than its factorization.

2166245456340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20066 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 48.

The spelling of 2166245456340 in words is "two trillion, one hundred sixty-six billion, two hundred forty-five million, four hundred fifty-six thousand, three hundred forty".