2667669120 has 256 divisors, whose sum is σ = 9497260800. Its totient is φ = 707678208.

The previous prime is 2667669113. The next prime is 2667669209. The reversal of 2667669120 is 219667662.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5477517 + ... + 5478003.

It is an arithmetic number, because the mean of its divisors is an integer number (37098675).

Almost surely, 2^2667669120 is an apocalyptic number.

2667669120 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 2667669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748630400).

2667669120 is an abundant number, since it is smaller than the sum of its proper divisors (6829591680).

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

2667669120 is a wasteful number, since it uses less digits than its factorization.

2667669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2667669120 is about 51649.4832500771. The cubic root of 2667669120 is about 1386.8962925120.

The spelling of 2667669120 in words is "two billion, six hundred sixty-seven million, six hundred sixty-nine thousand, one hundred twenty".