2221531363840 has 320 divisors, whose sum is σ = 6003523785600. Its totient is φ = 783394799616.

The previous prime is 2221531363781. The next prime is 2221531363853. The reversal of 2221531363840 is 483631351222.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2221531363793 and 2221531363802.

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 31 ways as a sum of consecutive naturals, for example, 73577227 + ... + 73607413.

It is an arithmetic number, because the mean of its divisors is an integer number (18761011830).

Almost surely, 2^{2221531363840} is an apocalyptic number.

2221531363840 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 2221531363840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001761892800).

2221531363840 is an abundant number, since it is smaller than the sum of its proper divisors (3781992421760).

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

2221531363840 is a wasteful number, since it uses less digits than its factorization.

2221531363840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30335 (or 30319 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 2221531363840 in words is "two trillion, two hundred twenty-one billion, five hundred thirty-one million, three hundred sixty-three thousand, eight hundred forty".