2082768629760 has 2496 divisors, whose sum is σ = 9519116261760. Its totient is φ = 433421549568.

The previous prime is 2082768629729. The next prime is 2082768629797. The reversal of 2082768629760 is 679268672802.

2082768629760 is a `hidden beast` number, since 208 + 2 + 7 + 6 + 86 + 297 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a super-2 number, since 2×2082768629760² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28531077084 + ... + 28531077156.

Almost surely, 2^{2082768629760} is an apocalyptic number.

2082768629760 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 2082768629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759558130880).

2082768629760 is an abundant number, since it is smaller than the sum of its proper divisors (7436347632000).

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

2082768629760 is an frugal number, since it uses more digits than its factorization.

2082768629760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 2082768629760 in words is "two trillion, eighty-two billion, seven hundred sixty-eight million, six hundred twenty-nine thousand, seven hundred sixty".