2987213644800 has 2640 divisors, whose sum is σ = 14090719243392. Its totient is φ = 607282790400.

The previous prime is 2987213644741. The next prime is 2987213644819. The reversal of 2987213644800 is 84463127892.

2987213644800 is a `hidden beast` number, since 2 + 9 + 87 + 21 + 3 + 64 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8462361424 + ... + 8462361776.

Almost surely, 2^{2987213644800} is an apocalyptic number.

2987213644800 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 2987213644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045359621696).

2987213644800 is an abundant number, since it is smaller than the sum of its proper divisors (11103505598592).

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

2987213644800 is a wasteful number, since it uses less digits than its factorization.

2987213644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2987213644800 in words is "two trillion, nine hundred eighty-seven billion, two hundred thirteen million, six hundred forty-four thousand, eight hundred".