2807200240 has 80 divisors (see below), whose sum is σ = 7091296128. Its totient is φ = 1027289088.

The previous prime is 2807200229. The next prime is 2807200241. The reversal of 2807200240 is 420027082.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2807200241) 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 15 ways as a sum of consecutive naturals, for example, 105577 + ... + 129463.

Almost surely, 2^2807200240 is an apocalyptic number.

2807200240 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 2807200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545648064).

2807200240 is an abundant number, since it is smaller than the sum of its proper divisors (4284095888).

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

2807200240 is a wasteful number, since it uses less digits than its factorization.

2807200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24026 (or 24020 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2807200240 is about 52983.0184115628. The cubic root of 2807200240 is about 1410.6668609238. Note that the first 3 decimals are identical.

The spelling of 2807200240 in words is "two billion, eight hundred seven million, two hundred thousand, two hundred forty".