2807400240 has 240 divisors, whose sum is σ = 10050213888. Its totient is φ = 700660224.

The previous prime is 2807400223. The next prime is 2807400241. The reversal of 2807400240 is 420047082.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2807400240² = 15762992215104115200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2807400241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 776517 + ... + 780123.

Almost surely, 2^2807400240 is an apocalyptic number.

2807400240 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 2807400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5025106944).

2807400240 is an abundant number, since it is smaller than the sum of its proper divisors (7242813648).

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

2807400240 is a wasteful number, since it uses less digits than its factorization.

2807400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3687 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2807400240 is about 52984.9057751356. The cubic root of 2807400240 is about 1410.7003612857.

The spelling of 2807400240 in words is "two billion, eight hundred seven million, four hundred thousand, two hundred forty".