2072993440032 has 48 divisors (see below), whose sum is σ = 6046230869280. Its totient is φ = 690997813056.

The previous prime is 2072993440027. The next prime is 2072993440033. The reversal of 2072993440032 is 2300443992702.

2072993440032 is a `hidden beast` number, since 20 + 72 + 9 + 93 + 440 + 0 + 32 = 666.

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

It is a super-2 number, since 2×2072993440032² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2072993440032.

It is not an unprimeable number, because it can be changed into a prime (2072993440033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199648118 + ... + 1199649845.

It is an arithmetic number, because the mean of its divisors is an integer number (125963143110).

Almost surely, 2^{2072993440032} is an apocalyptic number.

It is an amenable number.

2072993440032 is an abundant number, since it is smaller than the sum of its proper divisors (3973237429248).

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

2072993440032 is a wasteful number, since it uses less digits than its factorization.

2072993440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399297982 (or 2399297968 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 2072993440032 in words is "two trillion, seventy-two billion, nine hundred ninety-three million, four hundred forty thousand, thirty-two".