2666673360 has 320 divisors, whose sum is σ = 10324339200. Its totient is φ = 627720192.

The previous prime is 2666673343. The next prime is 2666673379. The reversal of 2666673360 is 633766662.

2666673360 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 2×2666673360² = 14222293617867379200, 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 63 ways as a sum of consecutive naturals, for example, 643776 + ... + 647904.

It is an arithmetic number, because the mean of its divisors is an integer number (32263560).

Almost surely, 2^2666673360 is an apocalyptic number.

2666673360 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 2666673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5162169600).

2666673360 is an abundant number, since it is smaller than the sum of its proper divisors (7657665840).

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

2666673360 is a wasteful number, since it uses less digits than its factorization.

2666673360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 2666673360 is about 51639.8427573129. The cubic root of 2666673360 is about 1386.7237089248.

The spelling of 2666673360 in words is "two billion, six hundred sixty-six million, six hundred seventy-three thousand, three hundred sixty".