2667840000 has 400 divisors, whose sum is σ = 10175592768. Its totient is φ = 608256000.

The previous prime is 2667839963. The next prime is 2667840001. The reversal of 2667840000 is 487662.

It is a tau number, because it is divible by the number of its divisors (400).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719802 + ... + 6720198.

Almost surely, 2^2667840000 is an apocalyptic number.

2667840000 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 2667840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087796384).

2667840000 is an abundant number, since it is smaller than the sum of its proper divisors (7507752768).

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

2667840000 is an frugal number, since it uses more digits than its factorization.

2667840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2667840000 is about 51651.1374511733. The cubic root of 2667840000 is about 1386.9259048524.

The spelling of 2667840000 in words is "two billion, six hundred sixty-seven million, eight hundred forty thousand".