2667329280 has 864 divisors, whose sum is σ = 11999490048. Its totient is φ = 530841600.

The previous prime is 2667329243. The next prime is 2667329293. The reversal of 2667329280 is 829237662.

2667329280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2667329280² = 14229290975890636800, 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27498192 + ... + 27498288.

Almost surely, 2^2667329280 is an apocalyptic number.

2667329280 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 2667329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999745024).

2667329280 is an abundant number, since it is smaller than the sum of its proper divisors (9332160768).

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

2667329280 is a wasteful number, since it uses less digits than its factorization.

2667329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2667329280 is about 51646.1932769493. The cubic root of 2667329280 is about 1386.8373967956.

The spelling of 2667329280 in words is "two billion, six hundred sixty-seven million, three hundred twenty-nine thousand, two hundred eighty".