2835985152 has 864 divisors, whose sum is σ = 11274246144. Its totient is φ = 619315200.

The previous prime is 2835985151. The next prime is 2835985153. The reversal of 2835985152 is 2515895382.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2835985151) and next prime (2835985153).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2835985151) 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 95 ways as a sum of consecutive naturals, for example, 91483377 + ... + 91483407.

It is an arithmetic number, because the mean of its divisors is an integer number (13048896).

Almost surely, 2^2835985152 is an apocalyptic number.

2835985152 is a gapful number since it is divisible by the number (22) 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 2835985152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5637123072).

2835985152 is an abundant number, since it is smaller than the sum of its proper divisors (8438260992).

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

2835985152 is a wasteful number, since it uses less digits than its factorization.

2835985152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 2835985152 is about 53253.9684155087. The cubic root of 2835985152 is about 1415.4721132279.

The spelling of 2835985152 in words is "two billion, eight hundred thirty-five million, nine hundred eighty-five thousand, one hundred fifty-two".