2802241008 has 210 divisors, whose sum is σ = 9471247224. Its totient is φ = 800476992.

The previous prime is 2802240983. The next prime is 2802241021. The reversal of 2802241008 is 8001422082.

2802241008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 569085 + ... + 573987.

Almost surely, 2^2802241008 is an apocalyptic number.

2802241008 is a gapful number since it is divisible by the number (28) 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 2802241008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735623612).

2802241008 is an abundant number, since it is smaller than the sum of its proper divisors (6669006216).

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

2802241008 is an equidigital number, since it uses as much as digits as its factorization.

2802241008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2802241008 is about 52936.1975211669. The cubic root of 2802241008 is about 1409.8356712066.

The spelling of 2802241008 in words is "two billion, eight hundred two million, two hundred forty-one thousand, eight".