2903040288 has 72 divisors (see below), whose sum is σ = 8287126848. Its totient is φ = 963975552.

The previous prime is 2903040281. The next prime is 2903040337. The reversal of 2903040288 is 8820403092.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2903040288² = 16855285827502245888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2903040281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56581 + ... + 94907.

It is an arithmetic number, because the mean of its divisors is an integer number (115098984).

Almost surely, 2^2903040288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2903040288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143563424).

2903040288 is an abundant number, since it is smaller than the sum of its proper divisors (5384086560).

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

2903040288 is a wasteful number, since it uses less digits than its factorization.

2903040288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38606 (or 38595 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2903040288 is about 53879.8690421571. The cubic root of 2903040288 is about 1426.5413158371.

The spelling of 2903040288 in words is "two billion, nine hundred three million, forty thousand, two hundred eighty-eight".