2667127680 has 384 divisors, whose sum is σ = 10893355200. Its totient is φ = 588349440.

The previous prime is 2667127669. The next prime is 2667127681. The reversal of 2667127680 is 867217662.

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

It is a super-2 number, since 2×2667127680² = 14227140122844364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667127681) 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, 1168140 + ... + 1170420.

Almost surely, 2^2667127680 is an apocalyptic number.

2667127680 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 2667127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446677600).

2667127680 is an abundant number, since it is smaller than the sum of its proper divisors (8226227520).

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

2667127680 is a wasteful number, since it uses less digits than its factorization.

2667127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2667127680 is about 51644.2414989319. The cubic root of 2667127680 is about 1386.8024562947.

The spelling of 2667127680 in words is "two billion, six hundred sixty-seven million, one hundred twenty-seven thousand, six hundred eighty".