2987416905984 has 288 divisors, whose sum is σ = 10627753472000. Its totient is φ = 808623876096.

The previous prime is 2987416905853. The next prime is 2987416906009. The reversal of 2987416905984 is 4895096147892.

2987416905984 is a `hidden beast` number, since 2 + 9 + 87 + 416 + 9 + 0 + 59 + 84 = 666.

2987416905984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705544 + ... + 2544135.

Almost surely, 2^{2987416905984} is an apocalyptic number.

2987416905984 is a gapful number since it is divisible by the number (24) 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 2987416905984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5313876736000).

2987416905984 is an abundant number, since it is smaller than the sum of its proper divisors (7640336566016).

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

2987416905984 is a wasteful number, since it uses less digits than its factorization.

2987416905984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249730 (or 3249710 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 2987416905984 in words is "two trillion, nine hundred eighty-seven billion, four hundred sixteen million, nine hundred five thousand, nine hundred eighty-four".