2642015200 has 72 divisors (see below), whose sum is σ = 7036190280. Its totient is φ = 960729600.

The previous prime is 2642015191. The next prime is 2642015209. The reversal of 2642015200 is 25102462.

It is an interprime number because it is at equal distance from previous prime (2642015191) and next prime (2642015209).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642015209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141315 + ... + 158914.

It is an arithmetic number, because the mean of its divisors is an integer number (97724865).

Almost surely, 2^2642015200 is an apocalyptic number.

2642015200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642015200 is an abundant number, since it is smaller than the sum of its proper divisors (4394175080).

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

2642015200 is a wasteful number, since it uses less digits than its factorization.

2642015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300260 (or 300247 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2642015200 is about 51400.5369621758. The cubic root of 2642015200 is about 1382.4362203212.

Adding to 2642015200 its reverse (25102462), we get a palindrome (2667117662).

The spelling of 2642015200 in words is "two billion, six hundred forty-two million, fifteen thousand, two hundred".