2642670200 has 96 divisors (see below), whose sum is σ = 6249443760. Its totient is φ = 1039104000.

The previous prime is 2642670181. The next prime is 2642670209. The reversal of 2642670200 is 20762462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642670209) by changing a digit.

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, 6590000 + ... + 6590400.

Almost surely, 2^2642670200 is an apocalyptic number.

2642670200 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 2642670200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124721880).

2642670200 is an abundant number, since it is smaller than the sum of its proper divisors (3606773560).

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

2642670200 is a wasteful number, since it uses less digits than its factorization.

2642670200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 2642670200 is about 51406.9080960915. The cubic root of 2642670200 is about 1382.5504539443.

The spelling of 2642670200 in words is "two billion, six hundred forty-two million, six hundred seventy thousand, two hundred".