2667412608 has 384 divisors, whose sum is σ = 9041932800. Its totient is φ = 691568640.

The previous prime is 2667412607. The next prime is 2667412633. The reversal of 2667412608 is 8062147662.

It is a Cunningham number, because it is equal to 51647²-1.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2667412608.

It is not an unprimeable number, because it can be changed into a prime (2667412607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9915898 + ... + 9916166.

It is an arithmetic number, because the mean of its divisors is an integer number (23546700).

Almost surely, 2^2667412608 is an apocalyptic number.

2667412608 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 2667412608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520966400).

2667412608 is an abundant number, since it is smaller than the sum of its proper divisors (6374520192).

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

2667412608 is a wasteful number, since it uses less digits than its factorization.

2667412608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2667412608 is about 51646.9999903189. Note that the first 5 decimals coincide. The cubic root of 2667412608 is about 1386.8518383551.

The spelling of 2667412608 in words is "two billion, six hundred sixty-seven million, four hundred twelve thousand, six hundred eight".