2981307200 has 84 divisors (see below), whose sum is σ = 7572646272. Its totient is φ = 1154035200.

The previous prime is 2981307181. The next prime is 2981307209. The reversal of 2981307200 is 27031892.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981307209) 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 11 ways as a sum of consecutive naturals, for example, 19547 + ... + 79653.

Almost surely, 2^2981307200 is an apocalyptic number.

2981307200 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 2981307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786323136).

2981307200 is an abundant number, since it is smaller than the sum of its proper divisors (4591339072).

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

2981307200 is a wasteful number, since it uses less digits than its factorization.

2981307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60160 (or 60145 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2981307200 is about 54601.3479687086. The cubic root of 2981307200 is about 1439.2478067439.

The spelling of 2981307200 in words is "two billion, nine hundred eighty-one million, three hundred seven thousand, two hundred".