2642660200 has 96 divisors (see below), whose sum is σ = 6522975360. Its totient is φ = 992230400.

The previous prime is 2642660197. The next prime is 2642660221. The reversal of 2642660200 is 20662462.

2642660200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1668609 + ... + 1670191.

It is an arithmetic number, because the mean of its divisors is an integer number (67947660).

Almost surely, 2^2642660200 is an apocalyptic number.

2642660200 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 2642660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261487680).

2642660200 is an abundant number, since it is smaller than the sum of its proper divisors (3880315160).

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

2642660200 is a wasteful number, since it uses less digits than its factorization.

2642660200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2642660200 is about 51406.8108328070. The cubic root of 2642660200 is about 1382.5487100614.

The spelling of 2642660200 in words is "two billion, six hundred forty-two million, six hundred sixty thousand, two hundred".