2030117765760 has 512 divisors, whose sum is σ = 8231155200000. Its totient is φ = 463235715072.

The previous prime is 2030117765719. The next prime is 2030117765761. The reversal of 2030117765760 is 675677110302.

2030117765760 is a `hidden beast` number, since 2 + 0 + 3 + 0 + 1 + 1 + 7 + 76 + 576 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2030117765761) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 72441031 + ... + 72469049.

It is an arithmetic number, because the mean of its divisors is an integer number (16076475000).

Almost surely, 2^{2030117765760} is an apocalyptic number.

2030117765760 is a gapful number since it is divisible by the number (20) 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 2030117765760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115577600000).

2030117765760 is an abundant number, since it is smaller than the sum of its proper divisors (6201037434240).

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

2030117765760 is a wasteful number, since it uses less digits than its factorization.

2030117765760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28653 (or 28635 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 2030117765760 in words is "two trillion, thirty billion, one hundred seventeen million, seven hundred sixty-five thousand, seven hundred sixty".