2166446254140 has 432 divisors, whose sum is σ = 8243089938720. Its totient is φ = 457681674240.

The previous prime is 2166446254103. The next prime is 2166446254157. The reversal of 2166446254140 is 414526446612.

2166446254140 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 4 + 4 + 62 + 541 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6713124 + ... + 7028436.

It is an arithmetic number, because the mean of its divisors is an integer number (19081226710).

Almost surely, 2^{2166446254140} is an apocalyptic number.

2166446254140 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 2166446254140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121544969360).

2166446254140 is an abundant number, since it is smaller than the sum of its proper divisors (6076643684580).

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

2166446254140 is a wasteful number, since it uses less digits than its factorization.

2166446254140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315402 (or 315390 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2166446254140 in words is "two trillion, one hundred sixty-six billion, four hundred forty-six million, two hundred fifty-four thousand, one hundred forty".