2208151142400 has 768 divisors, whose sum is σ = 8525245777920. Its totient is φ = 493800652800.

The previous prime is 2208151142359. The next prime is 2208151142411. The reversal of 2208151142400 is 42411518022.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 808549035 + ... + 808551765.

It is an arithmetic number, because the mean of its divisors is an integer number (11100580440).

Almost surely, 2^{2208151142400} is an apocalyptic number.

2208151142400 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 2208151142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262622888960).

2208151142400 is an abundant number, since it is smaller than the sum of its proper divisors (6317094635520).

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

2208151142400 is an equidigital number, since it uses as much as digits as its factorization.

2208151142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2795 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 2208151142400 in words is "two trillion, two hundred eight billion, one hundred fifty-one million, one hundred forty-two thousand, four hundred".