2666042600 has 72 divisors (see below), whose sum is σ = 6712123410. Its totient is φ = 984372480.

The previous prime is 2666042581. The next prime is 2666042651. The reversal of 2666042600 is 62406662.

2666042600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 118417924 + 2547624676 = 10882^2 + 50474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5639 + ... + 73238.

Almost surely, 2^2666042600 is an apocalyptic number.

2666042600 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 2666042600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356061705).

2666042600 is an abundant number, since it is smaller than the sum of its proper divisors (4046080810).

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

2666042600 is a wasteful number, since it uses less digits than its factorization.

2666042600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78919 (or 78897 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2666042600 is about 51633.7350963496. The cubic root of 2666042600 is about 1386.6143643467.

The spelling of 2666042600 in words is "two billion, six hundred sixty-six million, forty-two thousand, six hundred".