2667211904 has 128 divisors (see below), whose sum is σ = 6283200000. Its totient is φ = 1127153664.

The previous prime is 2667211901. The next prime is 2667211907. The reversal of 2667211904 is 4091127662.

2667211904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2667211901) and next prime (2667211907).

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

It is a super-2 number, since 2×2667211904² = 14228038681678610432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2667211901) 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, 3468032 + ... + 3468800.

It is an arithmetic number, because the mean of its divisors is an integer number (49087500).

Almost surely, 2^2667211904 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 2667211904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141600000).

2667211904 is an abundant number, since it is smaller than the sum of its proper divisors (3615988096).

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

2667211904 is an frugal number, since it uses more digits than its factorization.

2667211904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2667211904 is about 51645.0569173856. The cubic root of 2667211904 is about 1386.8170538737.

The spelling of 2667211904 in words is "two billion, six hundred sixty-seven million, two hundred eleven thousand, nine hundred four".