2201542400000 has 288 divisors, whose sum is σ = 5534038298880. Its totient is φ = 875520000000.

The previous prime is 2201542399829. The next prime is 2201542400011. The reversal of 2201542400000 is 42451022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1222399100 + ... + 1222400900.

It is an arithmetic number, because the mean of its divisors is an integer number (19215410760).

Almost surely, 2^{2201542400000} is an apocalyptic number.

2201542400000 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 2201542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767019149440).

2201542400000 is an abundant number, since it is smaller than the sum of its proper divisors (3332495898880).

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

2201542400000 is an frugal number, since it uses more digits than its factorization.

2201542400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2201542400000 its reverse (42451022), we get a palindrome (2201584851022).

The spelling of 2201542400000 in words is "two trillion, two hundred one billion, five hundred forty-two million, four hundred thousand".