2215004240000 has 160 divisors (see below), whose sum is σ = 5516485956300. Its totient is φ = 885620736000.

The previous prime is 2215004239997. The next prime is 2215004240017. The reversal of 2215004240000 is 424005122.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 61412769856 + 2153591470144 = 247816^2 + 1467512^2 .

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 253515632 + ... + 253524368.

Almost surely, 2^{2215004240000} is an apocalyptic number.

2215004240000 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 2215004240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758242978150).

2215004240000 is an abundant number, since it is smaller than the sum of its proper divisors (3301481716300).

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

2215004240000 is an frugal number, since it uses more digits than its factorization.

2215004240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11940 (or 11913 counting only the distinct ones).

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

Adding to 2215004240000 its reverse (424005122), we get a palindrome (2215428245122).

The spelling of 2215004240000 in words is "two trillion, two hundred fifteen billion, four million, two hundred forty thousand".