2021166742320 has 240 divisors, whose sum is σ = 7406388317952. Its totient is φ = 489876042240.

The previous prime is 2021166742291. The next prime is 2021166742381. The reversal of 2021166742320 is 232476611202.

2021166742320 is a `hidden beast` number, since 20 + 211 + 6 + 67 + 42 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41373429 + ... + 41422251.

Almost surely, 2^{2021166742320} is an apocalyptic number.

2021166742320 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 2021166742320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703194158976).

2021166742320 is an abundant number, since it is smaller than the sum of its proper divisors (5385221575632).

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

2021166742320 is a wasteful number, since it uses less digits than its factorization.

2021166742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54080 (or 54071 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2021166742320 in words is "two trillion, twenty-one billion, one hundred sixty-six million, seven hundred forty-two thousand, three hundred twenty".