2871241440 has 192 divisors, whose sum is σ = 9338898240. Its totient is φ = 740966400.

The previous prime is 2871241427. The next prime is 2871241453. The reversal of 2871241440 is 441421782.

It is an interprime number because it is at equal distance from previous prime (2871241427) and next prime (2871241453).

It is a super-3 number, since 3×2871241440³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4777140 + ... + 4777740.

It is an arithmetic number, because the mean of its divisors is an integer number (48640095).

Almost surely, 2^2871241440 is an apocalyptic number.

2871241440 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 2871241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669449120).

2871241440 is an abundant number, since it is smaller than the sum of its proper divisors (6467656800).

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

2871241440 is a wasteful number, since it uses less digits than its factorization.

2871241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2871241440 is about 53583.9662585740. The cubic root of 2871241440 is about 1421.3135765348.

The spelling of 2871241440 in words is "two billion, eight hundred seventy-one million, two hundred forty-one thousand, four hundred forty".