2076217608960 has 720 divisors, whose sum is σ = 8146478606112. Its totient is φ = 500716339200.

The previous prime is 2076217608917. The next prime is 2076217608961. The reversal of 2076217608960 is 698067126702.

2076217608960 is a `hidden beast` number, since 2 + 0 + 7 + 6 + 21 + 7 + 608 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2076217608897 and 2076217608906.

It is not an unprimeable number, because it can be changed into a prime (2076217608961) 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 79 ways as a sum of consecutive naturals, for example, 224669940 + ... + 224679180.

Almost surely, 2^{2076217608960} is an apocalyptic number.

2076217608960 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 2076217608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4073239303056).

2076217608960 is an abundant number, since it is smaller than the sum of its proper divisors (6070260997152).

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

2076217608960 is a wasteful number, since it uses less digits than its factorization.

2076217608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482 (or 9459 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 2076217608960 in words is "two trillion, seventy-six billion, two hundred seventeen million, six hundred eight thousand, nine hundred sixty".