2167742976 has 160 divisors (see below), whose sum is σ = 6779625600. Its totient is φ = 602505216.

The previous prime is 2167742971. The next prime is 2167742987. The reversal of 2167742976 is 6792477612.

It is not an unprimeable number, because it can be changed into a prime (2167742971) 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, 395100 + ... + 400548.

It is an arithmetic number, because the mean of its divisors is an integer number (42372660).

Almost surely, 2^2167742976 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 2167742976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389812800).

2167742976 is an abundant number, since it is smaller than the sum of its proper divisors (4611882624).

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

2167742976 is an equidigital number, since it uses as much as digits as its factorization.

2167742976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5498 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The square root of 2167742976 is about 46559.0267939526. The cubic root of 2167742976 is about 1294.2035772258.

It can be divided in two parts, 216 and 7742976, that multiplied together give a square (1672482816 = 40896²).

The spelling of 2167742976 in words is "two billion, one hundred sixty-seven million, seven hundred forty-two thousand, nine hundred seventy-six".