2793127680 has 432 divisors, whose sum is σ = 11632158720. Its totient is φ = 604495872.

The previous prime is 2793127643. The next prime is 2793127697. The reversal of 2793127680 is 867213972.

2793127680 is a `hidden beast` number, since 279 + 31 + 276 + 80 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531249 + ... + 1533071.

Almost surely, 2^2793127680 is an apocalyptic number.

2793127680 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 2793127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5816079360).

2793127680 is an abundant number, since it is smaller than the sum of its proper divisors (8839031040).

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

2793127680 is a wasteful number, since it uses less digits than its factorization.

2793127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2793127680 is about 52850.0490065998. The cubic root of 2793127680 is about 1408.3056757131.

It can be divided in two parts, 27931 and 27680, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 2793127680 in words is "two billion, seven hundred ninety-three million, one hundred twenty-seven thousand, six hundred eighty".