2987211830400 has 1152 divisors, whose sum is σ = 12823072604160. Its totient is φ = 672518246400.

The previous prime is 2987211830399. The next prime is 2987211830429. The reversal of 2987211830400 is 40381127892.

It is a happy number.

2987211830400 is a `hidden beast` number, since 2 + 98 + 72 + 11 + 83 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 364690305 + ... + 364698495.

Almost surely, 2^{2987211830400} is an apocalyptic number.

2987211830400 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 2987211830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6411536302080).

2987211830400 is an abundant number, since it is smaller than the sum of its proper divisors (9835860773760).

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

2987211830400 is an equidigital number, since it uses as much as digits as its factorization.

2987211830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8304 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2987211830400 in words is "two trillion, nine hundred eighty-seven billion, two hundred eleven million, eight hundred thirty thousand, four hundred".