2985936800 has 144 divisors (see below), whose sum is σ = 9088293312. Its totient is φ = 930662400.

The previous prime is 2985936791. The next prime is 2985936817. The reversal of 2985936800 is 86395892.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37364 + ... + 85836.

It is an arithmetic number, because the mean of its divisors is an integer number (63113148).

Almost surely, 2^2985936800 is an apocalyptic number.

2985936800 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 2985936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544146656).

2985936800 is an abundant number, since it is smaller than the sum of its proper divisors (6102356512).

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

2985936800 is a wasteful number, since it uses less digits than its factorization.

2985936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48511 (or 48498 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 2985936800 is about 54643.7260808595. The cubic root of 2985936800 is about 1439.9924125115.

The spelling of 2985936800 in words is "two billion, nine hundred eighty-five million, nine hundred thirty-six thousand, eight hundred".