2226773053440 has 1248 divisors, whose sum is σ = 8908793712000. Its totient is φ = 509862739968.

The previous prime is 2226773053423. The next prime is 2226773053441. The reversal of 2226773053440 is 443503776222.

2226773053440 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 7 + 73 + 0 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226773053441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2686094946 + ... + 2686095774.

It is an arithmetic number, because the mean of its divisors is an integer number (7138456500).

Almost surely, 2^{2226773053440} is an apocalyptic number.

2226773053440 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 2226773053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454396856000).

2226773053440 is an abundant number, since it is smaller than the sum of its proper divisors (6682020658560).

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

2226773053440 is a wasteful number, since it uses less digits than its factorization.

2226773053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 2226773053440 in words is "two trillion, two hundred twenty-six billion, seven hundred seventy-three million, fifty-three thousand, four hundred forty".