2072801664 has 192 divisors, whose sum is σ = 6255325440. Its totient is φ = 683168256.

The previous prime is 2072801663. The next prime is 2072801669. The reversal of 2072801664 is 4661082702.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072801663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3203389 + ... + 3204035.

It is an arithmetic number, because the mean of its divisors is an integer number (32579820).

Almost surely, 2^2072801664 is an apocalyptic number.

2072801664 is a gapful number since it is divisible by the number (24) 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 2072801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127662720).

2072801664 is an abundant number, since it is smaller than the sum of its proper divisors (4182523776).

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

2072801664 is an equidigital number, since it uses as much as digits as its factorization.

2072801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2072801664 is about 45528.0316288767. The cubic root of 2072801664 is about 1275.0266125933.

The spelling of 2072801664 in words is "two billion, seventy-two million, eight hundred one thousand, six hundred sixty-four".