2082960768 has 256 divisors, whose sum is σ = 6791731200. Its totient is φ = 552075264.

The previous prime is 2082960767. The next prime is 2082960787. The reversal of 2082960768 is 8670692802.

It is a happy number.

It is a super-2 number, since 2×2082960768² = 8677451122054299648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082960767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3609696 + ... + 3610272.

It is an arithmetic number, because the mean of its divisors is an integer number (26530200).

Almost surely, 2^2082960768 is an apocalyptic number.

2082960768 is a gapful number since it is divisible by the number (28) 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 2082960768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395865600).

2082960768 is an abundant number, since it is smaller than the sum of its proper divisors (4708770432).

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

2082960768 is a wasteful number, since it uses less digits than its factorization.

2082960768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2082960768 is about 45639.4650275395. The cubic root of 2082960768 is about 1277.1062493627.

The spelling of 2082960768 in words is "two billion, eighty-two million, nine hundred sixty thousand, seven hundred sixty-eight".