2673879120 has 320 divisors, whose sum is σ = 10577894400. Its totient is φ = 613992960.

The previous prime is 2673879079. The next prime is 2673879137. The reversal of 2673879120 is 219783762.

2673879120 is a `hidden beast` number, since 267 + 387 + 9 + 1 + 2 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 448479 + ... + 454401.

It is an arithmetic number, because the mean of its divisors is an integer number (33055920).

Almost surely, 2^2673879120 is an apocalyptic number.

2673879120 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 2673879120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288947200).

2673879120 is an abundant number, since it is smaller than the sum of its proper divisors (7904015280).

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

2673879120 is a wasteful number, since it uses less digits than its factorization.

2673879120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5963 counting only the distinct ones).

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

The square root of 2673879120 is about 51709.5650726246. The cubic root of 2673879120 is about 1387.9716322162.

The spelling of 2673879120 in words is "two billion, six hundred seventy-three million, eight hundred seventy-nine thousand, one hundred twenty".