2667440160 has 720 divisors, whose sum is σ = 11874316608. Its totient is φ = 554273280.

The previous prime is 2667440159. The next prime is 2667440161. The reversal of 2667440160 is 610447662.

It is an interprime number because it is at equal distance from previous prime (2667440159) and next prime (2667440161).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667440161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 242494555 + ... + 242494565.

Almost surely, 2^2667440160 is an apocalyptic number.

2667440160 is a gapful number since it is divisible by the number (20) 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 2667440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5937158304).

2667440160 is an abundant number, since it is smaller than the sum of its proper divisors (9206876448).

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

2667440160 is an frugal number, since it uses more digits than its factorization.

2667440160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2667440160 is about 51647.2667234192. The cubic root of 2667440160 is about 1386.8566133207.

The spelling of 2667440160 in words is "two billion, six hundred sixty-seven million, four hundred forty thousand, one hundred sixty".