2861340800 has 192 divisors, whose sum is σ = 7342733160. Its totient is φ = 1101004800.

The previous prime is 2861340799. The next prime is 2861340851. The reversal of 2861340800 is 80431682.

It can be written as a sum of positive squares in 12 ways, for example, as 640292416 + 2221048384 = 25304^2 + 47128^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14825504 + ... + 14825696.

Almost surely, 2^2861340800 is an apocalyptic number.

2861340800 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 2861340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671366580).

2861340800 is an abundant number, since it is smaller than the sum of its proper divisors (4481392360).

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

2861340800 is a wasteful number, since it uses less digits than its factorization.

2861340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2861340800 is about 53491.5021288429. The cubic root of 2861340800 is about 1419.6780331995.

The spelling of 2861340800 in words is "two billion, eight hundred sixty-one million, three hundred forty thousand, eight hundred".