2875327271040 has 1024 divisors, whose sum is σ = 11016824878080. Its totient is φ = 624269721600.

The previous prime is 2875327271029. The next prime is 2875327271161. The reversal of 2875327271040 is 401727235782.

It is a Cunningham number, because it is equal to 1695679²-1.

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

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 127 ways as a sum of consecutive naturals, for example, 3798318342 + ... + 3798319098.

It is an arithmetic number, because the mean of its divisors is an integer number (10758618045).

Almost surely, 2^{2875327271040} is an apocalyptic number.

2875327271040 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 2875327271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5508412439040).

2875327271040 is an abundant number, since it is smaller than the sum of its proper divisors (8141497607040).

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

2875327271040 is a wasteful number, since it uses less digits than its factorization.

2875327271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 2875327271040 in words is "two trillion, eight hundred seventy-five billion, three hundred twenty-seven million, two hundred seventy-one thousand, forty".