2166312351420 has 288 divisors, whose sum is σ = 8027535559680. Its totient is φ = 462076369920.

The previous prime is 2166312351373. The next prime is 2166312351449. The reversal of 2166312351420 is 241532136612.

2166312351420 is a `hidden beast` number, since 2 + 1 + 6 + 63 + 123 + 51 + 420 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276571 + ... + 2099789.

It is an arithmetic number, because the mean of its divisors is an integer number (27873387360).

Almost surely, 2^{2166312351420} is an apocalyptic number.

2166312351420 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 2166312351420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013767779840).

2166312351420 is an abundant number, since it is smaller than the sum of its proper divisors (5861223208260).

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

2166312351420 is a wasteful number, since it uses less digits than its factorization.

2166312351420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823305 (or 1823300 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2166312351420 in words is "two trillion, one hundred sixty-six billion, three hundred twelve million, three hundred fifty-one thousand, four hundred twenty".