2227139893440 has 3360 divisors, whose sum is σ = 10897833830400. Its totient is φ = 425608888320.

The previous prime is 2227139893409. The next prime is 2227139893481. The reversal of 2227139893440 is 443989317222.

It is a happy number.

2227139893440 is a `hidden beast` number, since 2 + 2 + 27 + 1 + 3 + 98 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9318576841 + ... + 9318577079.

Almost surely, 2^{2227139893440} is an apocalyptic number.

2227139893440 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 2227139893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448916915200).

2227139893440 is an abundant number, since it is smaller than the sum of its proper divisors (8670693936960).

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

2227139893440 is a wasteful number, since it uses less digits than its factorization.

2227139893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 2227139893440 in words is "two trillion, two hundred twenty-seven billion, one hundred thirty-nine million, eight hundred ninety-three thousand, four hundred forty".