2211103981440 has 768 divisors, whose sum is σ = 8191640808000. Its totient is φ = 547955933184.

The previous prime is 2211103981439. The next prime is 2211103981453. The reversal of 2211103981440 is 441893011122.

2211103981440 is a `hidden beast` number, since 2 + 21 + 1 + 103 + 98 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2211103981395 and 2211103981404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1334401092 + ... + 1334402748.

Almost surely, 2^{2211103981440} is an apocalyptic number.

2211103981440 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 2211103981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095820404000).

2211103981440 is an abundant number, since it is smaller than the sum of its proper divisors (5980536826560).

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

2211103981440 is a wasteful number, since it uses less digits than its factorization.

2211103981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 2211103981440 its reverse (441893011122), we get a palindrome (2652996992562).

The spelling of 2211103981440 in words is "two trillion, two hundred eleven billion, one hundred three million, nine hundred eighty-one thousand, four hundred forty".