2667007662 has 32 divisors (see below), whose sum is σ = 5954256000. Its totient is φ = 789388320.

The previous prime is 2667007661. The next prime is 2667007687.

2667007662 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2667007662² = 14225859738333412488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667007661) 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, 467037 + ... + 472712.

It is an arithmetic number, because the mean of its divisors is an integer number (186070500).

Almost surely, 2^2667007662 is an apocalyptic number.

2667007662 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2667007662 is an abundant number, since it is smaller than the sum of its proper divisors (3287248338).

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

2667007662 is a wasteful number, since it uses less digits than its factorization.

2667007662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939808.

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 2667007662 is about 51643.0795170079. The cubic root of 2667007662 is about 1386.7816544217.

The spelling of 2667007662 in words is "two billion, six hundred sixty-seven million, seven thousand, six hundred sixty-two".