2402846208 has 480 divisors, whose sum is σ = 8579450880. Its totient is φ = 656916480.

The previous prime is 2402846203. The next prime is 2402846219. The reversal of 2402846208 is 8026482042.

It is a happy number.

2402846208 is a `hidden beast` number, since 2 + 4 + 0 + 28 + 4 + 620 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402846203) 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 47 ways as a sum of consecutive naturals, for example, 26998228 + ... + 26998316.

It is an arithmetic number, because the mean of its divisors is an integer number (17873856).

Almost surely, 2^2402846208 is an apocalyptic number.

2402846208 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 2402846208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289725440).

2402846208 is an abundant number, since it is smaller than the sum of its proper divisors (6176604672).

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

2402846208 is an frugal number, since it uses more digits than its factorization.

2402846208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2402846208 is about 49018.8352370800. The cubic root of 2402846208 is about 1339.3949536971.

The spelling of 2402846208 in words is "two billion, four hundred two million, eight hundred forty-six thousand, two hundred eight".