2851516170240 has 240 divisors, whose sum is σ = 9218718110112. Its totient is φ = 752558800896.

The previous prime is 2851516170199. The next prime is 2851516170313. The reversal of 2851516170240 is 420716151582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2851516170240² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2851516170192 and 2851516170201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23778912 + ... + 23898528.

Almost surely, 2^{2851516170240} is an apocalyptic number.

2851516170240 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 2851516170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609359055056).

2851516170240 is an abundant number, since it is smaller than the sum of its proper divisors (6367201939872).

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

2851516170240 is an equidigital number, since it uses as much as digits as its factorization.

2851516170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119750 (or 119724 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 2851516170240 in words is "two trillion, eight hundred fifty-one billion, five hundred sixteen million, one hundred seventy thousand, two hundred forty".