2082768480 has 576 divisors, whose sum is σ = 8198281728. Its totient is φ = 477757440.

The previous prime is 2082768469. The next prime is 2082768497. The reversal of 2082768480 is 848672802.

It is a happy number.

2082768480 is a `hidden beast` number, since 20 + 82 + 76 + 8 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21471792 + ... + 21471888.

It is an arithmetic number, because the mean of its divisors is an integer number (14233128).

Almost surely, 2^2082768480 is an apocalyptic number.

2082768480 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 2082768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099140864).

2082768480 is an abundant number, since it is smaller than the sum of its proper divisors (6115513248).

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

2082768480 is a wasteful number, since it uses less digits than its factorization.

2082768480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2082768480 is about 45637.3583810457. The cubic root of 2082768480 is about 1277.0669495725.

The spelling of 2082768480 in words is "two billion, eighty-two million, seven hundred sixty-eight thousand, four hundred eighty".