2072965644288 has 1792 divisors, whose sum is σ = 8251747776000. Its totient is φ = 515022520320.

The previous prime is 2072965644287. The next prime is 2072965644319. The reversal of 2072965644288 is 8824465692702.

2072965644288 is a `hidden beast` number, since 2 + 0 + 7 + 29 + 6 + 564 + 42 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072965644287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 90128941045 + ... + 90128941067.

Almost surely, 2^{2072965644288} is an apocalyptic number.

2072965644288 is a gapful number since it is divisible by the number (28) 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 2072965644288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125873888000).

2072965644288 is an abundant number, since it is smaller than the sum of its proper divisors (6178782131712).

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

2072965644288 is an frugal number, since it uses more digits than its factorization.

2072965644288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 2072965644288 in words is "two trillion, seventy-two billion, nine hundred sixty-five million, six hundred forty-four thousand, two hundred eighty-eight".