2667561600 has 192 divisors, whose sum is σ = 9585413280. Its totient is φ = 646656000.

The previous prime is 2667561599. The next prime is 2667561619. The reversal of 2667561600 is 61657662.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92970 + ... + 118230.

Almost surely, 2^2667561600 is an apocalyptic number.

2667561600 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 2667561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792706640).

2667561600 is an abundant number, since it is smaller than the sum of its proper divisors (6917851680).

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

2667561600 is a wasteful number, since it uses less digits than its factorization.

2667561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25299 (or 25282 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2667561600 is about 51648.4423772876. The cubic root of 2667561600 is about 1386.8776593800.

The spelling of 2667561600 in words is "two billion, six hundred sixty-seven million, five hundred sixty-one thousand, six hundred".