2871282400 has 216 divisors, whose sum is σ = 8255565360. Its totient is φ = 972195840.

The previous prime is 2871282391. The next prime is 2871282409. The reversal of 2871282400 is 42821782.

It is an interprime number because it is at equal distance from previous prime (2871282391) and next prime (2871282409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2871282409) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 3488389 + ... + 3489211.

It is an arithmetic number, because the mean of its divisors is an integer number (38220210).

Almost surely, 2^2871282400 is an apocalyptic number.

2871282400 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 2871282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127782680).

2871282400 is an abundant number, since it is smaller than the sum of its proper divisors (5384282960).

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

2871282400 is a wasteful number, since it uses less digits than its factorization.

2871282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 2871282400 is about 53584.3484610945. The cubic root of 2871282400 is about 1421.3203351360.

The spelling of 2871282400 in words is "two billion, eight hundred seventy-one million, two hundred eighty-two thousand, four hundred".