2673878760 has 192 divisors, whose sum is σ = 9958291200. Its totient is φ = 609527808.

The previous prime is 2673878719. The next prime is 2673878783. The reversal of 2673878760 is 678783762.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2673878697 and 2673878706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1105072 + ... + 1107488.

It is an arithmetic number, because the mean of its divisors is an integer number (51866100).

Almost surely, 2^2673878760 is an apocalyptic number.

2673878760 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 2673878760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979145600).

2673878760 is an abundant number, since it is smaller than the sum of its proper divisors (7284412440).

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

2673878760 is a wasteful number, since it uses less digits than its factorization.

2673878760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 2673878760 is about 51709.5615916438. The cubic root of 2673878760 is about 1387.9715699260.

The spelling of 2673878760 in words is "two billion, six hundred seventy-three million, eight hundred seventy-eight thousand, seven hundred sixty".