2672871120 has 120 divisors (see below), whose sum is σ = 9219089256. Its totient is φ = 693494784.

The previous prime is 2672871109. The next prime is 2672871127. The reversal of 2672871120 is 211782762.

2672871120 is a `hidden beast` number, since 267 + 287 + 112 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1091377296 + 1581493824 = 33036^2 + 39768^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672871127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23527 + ... + 76806.

Almost surely, 2^2672871120 is an apocalyptic number.

2672871120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672871120 is an abundant number, since it is smaller than the sum of its proper divisors (6546218136).

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

2672871120 is a wasteful number, since it uses less digits than its factorization.

2672871120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100389 (or 100380 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2672871120 is about 51699.8174078014. The cubic root of 2672871120 is about 1387.7971975980.

The spelling of 2672871120 in words is "two billion, six hundred seventy-two million, eight hundred seventy-one thousand, one hundred twenty".