2072945760 has 48 divisors (see below), whose sum is σ = 6529780656. Its totient is φ = 552785408.

The previous prime is 2072945747. The next prime is 2072945801. The reversal of 2072945760 is 675492702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2158839 + ... + 2159798.

It is an arithmetic number, because the mean of its divisors is an integer number (136037097).

Almost surely, 2^2072945760 is an apocalyptic number.

2072945760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2072945760 is an abundant number, since it is smaller than the sum of its proper divisors (4456834896).

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

2072945760 is a wasteful number, since it uses less digits than its factorization.

2072945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318655 (or 4318647 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 2072945760 is about 45529.6140989576. The cubic root of 2072945760 is about 1275.0561574650.

The spelling of 2072945760 in words is "two billion, seventy-two million, nine hundred forty-five thousand, seven hundred sixty".