2833201476 has 240 divisors, whose sum is σ = 8898785280. Its totient is φ = 768968640.

The previous prime is 2833201447. The next prime is 2833201499. The reversal of 2833201476 is 6741023382.

It is a happy number.

2833201476 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2833201476.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4147831 + ... + 4148513.

It is an arithmetic number, because the mean of its divisors is an integer number (37078272).

Almost surely, 2^2833201476 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 2833201476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449392640).

2833201476 is an abundant number, since it is smaller than the sum of its proper divisors (6065583804).

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

2833201476 is a wasteful number, since it uses less digits than its factorization.

2833201476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2833201476 is about 53227.8261438507. The cubic root of 2833201476 is about 1415.0088402766.

The spelling of 2833201476 in words is "two billion, eight hundred thirty-three million, two hundred one thousand, four hundred seventy-six".