2802961248 has 96 divisors (see below), whose sum is σ = 7464877056. Its totient is φ = 920813568.

The previous prime is 2802961243. The next prime is 2802961267. The reversal of 2802961248 is 8421692082.

It is a Cunningham number, because it is equal to 52943²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2802961243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2540665 + ... + 2541767.

It is an arithmetic number, because the mean of its divisors is an integer number (77759136).

Almost surely, 2^2802961248 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 2802961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732438528).

2802961248 is an abundant number, since it is smaller than the sum of its proper divisors (4661915808).

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

2802961248 is a wasteful number, since it uses less digits than its factorization.

2802961248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 2802961248 is about 52942.9999905559. Note that the first 5 decimals coincide. The cubic root of 2802961248 is about 1409.9564475255.

The spelling of 2802961248 in words is "two billion, eight hundred two million, nine hundred sixty-one thousand, two hundred forty-eight".