2835342225000 has 288 divisors, whose sum is σ = 9953710734240. Its totient is φ = 756089640000.

The previous prime is 2835342224987. The next prime is 2835342225011. The reversal of 2835342225000 is 5222435382.

2835342225000 is a `hidden beast` number, since 2 + 83 + 53 + 4 + 2 + 22 + 500 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5841639 + ... + 6308361.

It is an arithmetic number, because the mean of its divisors is an integer number (34561495605).

Almost surely, 2^{2835342225000} is an apocalyptic number.

2835342225000 is a gapful number since it is divisible by the number (20) 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 2835342225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4976855367120).

2835342225000 is an abundant number, since it is smaller than the sum of its proper divisors (7118368509240).

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

2835342225000 is an frugal number, since it uses more digits than its factorization.

2835342225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466769 (or 466733 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2835342225000 in words is "two trillion, eight hundred thirty-five billion, three hundred forty-two million, two hundred twenty-five thousand".