2072664220770 has 864 divisors, whose sum is σ = 6785730334656. Its totient is φ = 454483560960.

The previous prime is 2072664220751. The next prime is 2072664220789. The reversal of 2072664220770 is 770224662702.

It is an interprime number because it is at equal distance from previous prime (2072664220751) and next prime (2072664220789).

It is a super-2 number, since 2×2072664220770² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2633626317 + ... + 2633627103.

It is an arithmetic number, because the mean of its divisors is an integer number (7853854554).

Almost surely, 2^{2072664220770} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072664220770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392865167328).

2072664220770 is an abundant number, since it is smaller than the sum of its proper divisors (4713066113886).

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

2072664220770 is a wasteful number, since it uses less digits than its factorization.

2072664220770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 2072664220770 in words is "two trillion, seventy-two billion, six hundred sixty-four million, two hundred twenty thousand, seven hundred seventy".