2672167752 has 128 divisors (see below), whose sum is σ = 7833600000. Its totient is φ = 841658688.

The previous prime is 2672167747. The next prime is 2672167777. The reversal of 2672167752 is 2577612762.

It is a junction number, because it is equal to n+sod(n) for n = 2672167698 and 2672167707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2457753 + ... + 2458839.

It is an arithmetic number, because the mean of its divisors is an integer number (61200000).

Almost surely, 2^2672167752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2672167752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916800000).

2672167752 is an abundant number, since it is smaller than the sum of its proper divisors (5161432248).

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

2672167752 is a wasteful number, since it uses less digits than its factorization.

2672167752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1710 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 2672167752 is about 51693.0145377497. The cubic root of 2672167752 is about 1387.6754536342.

The spelling of 2672167752 in words is "two billion, six hundred seventy-two million, one hundred sixty-seven thousand, seven hundred fifty-two".