2215441440 has 72 divisors (see below), whose sum is σ = 7560198828. Its totient is φ = 590784000.

The previous prime is 2215441433. The next prime is 2215441441. The reversal of 2215441440 is 441445122.

2215441440 is a `hidden beast` number, since 2 + 215 + 4 + 4 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2204865936 + 10575504 = 46956^2 + 3252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2215441441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 767811 + ... + 770690.

Almost surely, 2^2215441440 is an apocalyptic number.

2215441440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2215441440 is an abundant number, since it is smaller than the sum of its proper divisors (5344757388).

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

2215441440 is a wasteful number, since it uses less digits than its factorization.

2215441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538522 (or 1538511 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2215441440 is about 47068.4760747573. The cubic root of 2215441440 is about 1303.6272348383.

Adding to 2215441440 its reverse (441445122), we get a palindrome (2656886562).

The spelling of 2215441440 in words is "two billion, two hundred fifteen million, four hundred forty-one thousand, four hundred forty".