2802509540 has 48 divisors (see below), whose sum is σ = 6095098800. Its totient is φ = 1081124352.

The previous prime is 2802509527. The next prime is 2802509579. The reversal of 2802509540 is 459052082.

It is a happy number.

2802509540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 289444 + 2802220096 = 538^2 + 52936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2802509540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641042 + ... + 645398.

It is an arithmetic number, because the mean of its divisors is an integer number (126981225).

Almost surely, 2^2802509540 is an apocalyptic number.

2802509540 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 2802509540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047549400).

2802509540 is an abundant number, since it is smaller than the sum of its proper divisors (3292589260).

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

2802509540 is a wasteful number, since it uses less digits than its factorization.

2802509540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5504 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 2802509540 is about 52938.7338344997. The cubic root of 2802509540 is about 1409.8807034860.

The spelling of 2802509540 in words is "two billion, eight hundred two million, five hundred nine thousand, five hundred forty".