2793682080 has 648 divisors, whose sum is σ = 11866631868. Its totient is φ = 596606976.

The previous prime is 2793682061. The next prime is 2793682117. The reversal of 2793682080 is 802863972.

It can be written as a sum of positive squares in 6 ways, for example, as 2111218704 + 682463376 = 45948^2 + 26124^2 .

It is a super-2 number, since 2×2793682080² = 15609319128226252800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20391772 + ... + 20391908.

Almost surely, 2^2793682080 is an apocalyptic number.

2793682080 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 2793682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933315934).

2793682080 is an abundant number, since it is smaller than the sum of its proper divisors (9072949788).

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

2793682080 is a wasteful number, since it uses less digits than its factorization.

2793682080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2793682080 is about 52855.2937746069. The cubic root of 2793682080 is about 1408.3988464169.

The spelling of 2793682080 in words is "two billion, seven hundred ninety-three million, six hundred eighty-two thousand, eighty".