2987308800 has 648 divisors, whose sum is σ = 12652523520. Its totient is φ = 658022400.

The previous prime is 2987308789. The next prime is 2987308811. The reversal of 2987308800 is 88037892.

It is an interprime number because it is at equal distance from previous prime (2987308789) and next prime (2987308811).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 12499081 + ... + 12499319.

Almost surely, 2^2987308800 is an apocalyptic number.

2987308800 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 2987308800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326261760).

2987308800 is an abundant number, since it is smaller than the sum of its proper divisors (9665214720).

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

2987308800 is a wasteful number, since it uses less digits than its factorization.

2987308800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2987308800 is about 54656.2786878141. The cubic root of 2987308800 is about 1440.2129314754.

The spelling of 2987308800 in words is "two billion, nine hundred eighty-seven million, three hundred eight thousand, eight hundred".