2072212318890 has 192 divisors, whose sum is σ = 6256166492160. Its totient is φ = 466112188800.

The previous prime is 2072212318889. The next prime is 2072212318907. The reversal of 2072212318890 is 988132122702.

2072212318890 is a `hidden beast` number, since 20 + 7 + 221 + 2 + 318 + 8 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon 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 95 ways as a sum of consecutive naturals, for example, 10077121 + ... + 10280699.

It is an arithmetic number, because the mean of its divisors is an integer number (32584200480).

Almost surely, 2^{2072212318890} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072212318890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3128083246080).

2072212318890 is an abundant number, since it is smaller than the sum of its proper divisors (4183954173270).

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

2072212318890 is a wasteful number, since it uses less digits than its factorization.

2072212318890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203857 (or 203854 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2072212318890 in words is "two trillion, seventy-two billion, two hundred twelve million, three hundred eighteen thousand, eight hundred ninety".