2673820680 has 128 divisors (see below), whose sum is σ = 8341401600. Its totient is φ = 684921600.

The previous prime is 2673820661. The next prime is 2673820693. The reversal of 2673820680 is 860283762.

It is a Cunningham number, because it is equal to 51709²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 514495 + ... + 519665.

It is an arithmetic number, because the mean of its divisors is an integer number (65167200).

Almost surely, 2^2673820680 is an apocalyptic number.

2673820680 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 2673820680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170700800).

2673820680 is an abundant number, since it is smaller than the sum of its proper divisors (5667580920).

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

2673820680 is a wasteful number, since it uses less digits than its factorization.

2673820680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2673820680 is about 51708.9999903305. Note that the first 5 decimals coincide. The cubic root of 2673820680 is about 1387.9615203588.

The spelling of 2673820680 in words is "two billion, six hundred seventy-three million, eight hundred twenty thousand, six hundred eighty".