2667124096 has 128 divisors (see below), whose sum is σ = 6674472000. Its totient is φ = 1054900224.

The previous prime is 2667124093. The next prime is 2667124111. The reversal of 2667124096 is 6904217662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2667124096² = 14227101886927634432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667124093) 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, 568416 + ... + 573088.

Almost surely, 2^2667124096 is an apocalyptic number.

2667124096 is a gapful number since it is divisible by the number (26) 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 2667124096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3337236000).

2667124096 is an abundant number, since it is smaller than the sum of its proper divisors (4007347904).

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

2667124096 is an equidigital number, since it uses as much as digits as its factorization.

2667124096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4721 (or 4695 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 2667124096 is about 51644.2067999887. The cubic root of 2667124096 is about 1386.8018351143.

The spelling of 2667124096 in words is "two billion, six hundred sixty-seven million, one hundred twenty-four thousand, ninety-six".