2807878440 has 256 divisors, whose sum is σ = 9307872000. Its totient is φ = 674693120.

The previous prime is 2807878417. The next prime is 2807878441. The reversal of 2807878440 is 448787082.

It is a happy number.

2807878440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2807878440.

It is not an unprimeable number, because it can be changed into a prime (2807878441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4934476 + ... + 4935044.

It is an arithmetic number, because the mean of its divisors is an integer number (36358875).

Almost surely, 2^2807878440 is an apocalyptic number.

2807878440 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 2807878440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653936000).

2807878440 is an abundant number, since it is smaller than the sum of its proper divisors (6499993560).

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

2807878440 is a wasteful number, since it uses less digits than its factorization.

2807878440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 48.

The square root of 2807878440 is about 52989.4181889177. The cubic root of 2807878440 is about 1410.7804542016.

The spelling of 2807878440 in words is "two billion, eight hundred seven million, eight hundred seventy-eight thousand, four hundred forty".