2215581440 has 144 divisors (see below), whose sum is σ = 5814607680. Its totient is φ = 805109760.

The previous prime is 2215581437. The next prime is 2215581451. The reversal of 2215581440 is 441855122.

It is a super-2 number, since 2×2215581440² = 9817602234544947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2215581397 and 2215581406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629285 + ... + 632795.

It is an arithmetic number, because the mean of its divisors is an integer number (40379220).

Almost surely, 2^2215581440 is an apocalyptic number.

2215581440 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 2215581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907303840).

2215581440 is an abundant number, since it is smaller than the sum of its proper divisors (3599026240).

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

2215581440 is a wasteful number, since it uses less digits than its factorization.

2215581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 2215581440 is about 47069.9632462147. The cubic root of 2215581440 is about 1303.6546942218.

The spelling of 2215581440 in words is "two billion, two hundred fifteen million, five hundred eighty-one thousand, four hundred forty".