2835220752 has 240 divisors, whose sum is σ = 10196014080. Its totient is φ = 747677952.

The previous prime is 2835220721. The next prime is 2835220763. The reversal of 2835220752 is 2570225382.

It is a happy number.

2835220752 is a `hidden beast` number, since 2 + 83 + 522 + 0 + 7 + 52 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270033 + ... + 280335.

It is an arithmetic number, because the mean of its divisors is an integer number (42483392).

Almost surely, 2^2835220752 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 2835220752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098007040).

2835220752 is an abundant number, since it is smaller than the sum of its proper divisors (7360793328).

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

2835220752 is a wasteful number, since it uses less digits than its factorization.

2835220752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347 (or 10328 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2835220752 is about 53246.7910018998. The cubic root of 2835220752 is about 1415.3449282520.

The spelling of 2835220752 in words is "two billion, eight hundred thirty-five million, two hundred twenty thousand, seven hundred fifty-two".