2028887481600 has 3024 divisors, whose sum is σ = 9348012855552. Its totient is φ = 425681879040.

The previous prime is 2028887481571. The next prime is 2028887481707. The reversal of 2028887481600 is 61847888202.

2028887481600 is a `hidden beast` number, since 2 + 0 + 2 + 88 + 87 + 481 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 27792979164 + ... + 27792979236.

Almost surely, 2^{2028887481600} is an apocalyptic number.

2028887481600 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 2028887481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4674006427776).

2028887481600 is an abundant number, since it is smaller than the sum of its proper divisors (7319125373952).

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

2028887481600 is an equidigital number, since it uses as much as digits as its factorization.

2028887481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 2028887481600 in words is "two trillion, twenty-eight billion, eight hundred eighty-seven million, four hundred eighty-one thousand, six hundred".