2871617280 has 288 divisors, whose sum is σ = 10709121024. Its totient is φ = 642121728.

The previous prime is 2871617267. The next prime is 2871617291. The reversal of 2871617280 is 827161782.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1262224 + ... + 1264496.

It is an arithmetic number, because the mean of its divisors is an integer number (37184448).

Almost surely, 2^2871617280 is an apocalyptic number.

2871617280 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 2871617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354560512).

2871617280 is an abundant number, since it is smaller than the sum of its proper divisors (7837503744).

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

2871617280 is a wasteful number, since it uses less digits than its factorization.

2871617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 2871617280 is about 53587.4731630444. The cubic root of 2871617280 is about 1421.3755895699.

The spelling of 2871617280 in words is "two billion, eight hundred seventy-one million, six hundred seventeen thousand, two hundred eighty".