2167957568 has 112 divisors (see below), whose sum is σ = 5102352000. Its totient is φ = 913328640.

The previous prime is 2167957567. The next prime is 2167957573. The reversal of 2167957568 is 8657597612.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (2167957567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338263 + ... + 1339881.

Almost surely, 2^2167957568 is an apocalyptic number.

2167957568 is a gapful number since it is divisible by the number (28) 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 2167957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551176000).

2167957568 is an abundant number, since it is smaller than the sum of its proper divisors (2934394432).

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

2167957568 is an equidigital number, since it uses as much as digits as its factorization.

2167957568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1689 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 56.

The square root of 2167957568 is about 46561.3312524460. The cubic root of 2167957568 is about 1294.2462816383.

The spelling of 2167957568 in words is "two billion, one hundred sixty-seven million, nine hundred fifty-seven thousand, five hundred sixty-eight".