2221011145440 has 72 divisors (see below), whose sum is σ = 7579200538728. Its totient is φ = 592269638400.

The previous prime is 2221011145433. The next prime is 2221011145459. The reversal of 2221011145440 is 445411101222.

2221011145440 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 0 + 1 + 114 + 544 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 771182986 + ... + 771185865.

It is an arithmetic number, because the mean of its divisors is an integer number (105266674149).

Almost surely, 2^{2221011145440} is an apocalyptic number.

2221011145440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221011145440 is an abundant number, since it is smaller than the sum of its proper divisors (5358189393288).

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

2221011145440 is a wasteful number, since it uses less digits than its factorization.

2221011145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542368872 (or 1542368861 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 2221011145440 its reverse (445411101222), we get a palindrome (2666422246662).

The spelling of 2221011145440 in words is "two trillion, two hundred twenty-one billion, eleven million, one hundred forty-five thousand, four hundred forty".