2987620800 has 672 divisors, whose sum is σ = 11429268480. Its totient is φ = 678297600.

The previous prime is 2987620789. The next prime is 2987620807. The reversal of 2987620800 is 80267892.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987620807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63566377 + ... + 63566423.

It is an arithmetic number, because the mean of its divisors is an integer number (17007840).

Almost surely, 2^2987620800 is an apocalyptic number.

2987620800 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 2987620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714634240).

2987620800 is an abundant number, since it is smaller than the sum of its proper divisors (8441647680).

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

2987620800 is a wasteful number, since it uses less digits than its factorization.

2987620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2987620800 is about 54659.1328141968. The cubic root of 2987620800 is about 1440.2630692217.

The spelling of 2987620800 in words is "two billion, nine hundred eighty-seven million, six hundred twenty thousand, eight hundred".