2667667662 has 64 divisors (see below), whose sum is σ = 6641913600. Its totient is φ = 786529440.

The previous prime is 2667667661. The next prime is 2667667687.

2667667662 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2667667599 and 2667667608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667667661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38712 + ... + 82667.

It is an arithmetic number, because the mean of its divisors is an integer number (103779900).

Almost surely, 2^2667667662 is an apocalyptic number.

2667667662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2667667662 is an abundant number, since it is smaller than the sum of its proper divisors (3974245938).

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

2667667662 is a wasteful number, since it uses less digits than its factorization.

2667667662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121438 (or 121432 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The square root of 2667667662 is about 51649.4691357036. The cubic root of 2667667662 is about 1386.8960398451.

The spelling of 2667667662 in words is "two billion, six hundred sixty-seven million, six hundred sixty-seven thousand, six hundred sixty-two".