2986788000 has 576 divisors, whose sum is σ = 11867192064. Its totient is φ = 642816000.

The previous prime is 2986787977. The next prime is 2986788017. The reversal of 2986788000 is 8876892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 95 ways as a sum of consecutive naturals, for example, 80723982 + ... + 80724018.

It is an arithmetic number, because the mean of its divisors is an integer number (20602764).

Almost surely, 2^2986788000 is an apocalyptic number.

2986788000 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 2986788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933596032).

2986788000 is an abundant number, since it is smaller than the sum of its proper divisors (8880404064).

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

2986788000 is a wasteful number, since it uses less digits than its factorization.

2986788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 2986788000 is about 54651.5141601768. The cubic root of 2986788000 is about 1440.1292322289.

The spelling of 2986788000 in words is "two billion, nine hundred eighty-six million, seven hundred eighty-eight thousand".