2987309808000 has 3072 divisors, whose sum is σ = 13761715968000. Its totient is φ = 628848230400.

The previous prime is 2987309807987. The next prime is 2987309808029. The reversal of 2987309808000 is 8089037892.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27406511946 + ... + 27406512054.

It is an arithmetic number, because the mean of its divisors is an integer number (4479725250).

Almost surely, 2^{2987309808000} is an apocalyptic number.

2987309808000 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 2987309808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6880857984000).

2987309808000 is an abundant number, since it is smaller than the sum of its proper divisors (10774406160000).

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

2987309808000 is a wasteful number, since it uses less digits than its factorization.

2987309808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 2987309808000 in words is "two trillion, nine hundred eighty-seven billion, three hundred nine million, eight hundred eight thousand".