2227234307904 has 224 divisors, whose sum is σ = 6694900544640. Its totient is φ = 725900673024.

The previous prime is 2227234307891. The next prime is 2227234307941. The reversal of 2227234307904 is 4097034327222.

2227234307904 is a `hidden beast` number, since 2 + 2 + 27 + 234 + 307 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2227234307904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13832082 + ... + 13992174.

It is an arithmetic number, because the mean of its divisors is an integer number (29887948860).

Almost surely, 2^{2227234307904} is an apocalyptic number.

2227234307904 is a gapful number since it is divisible by the number (24) 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 2227234307904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347450272320).

2227234307904 is an abundant number, since it is smaller than the sum of its proper divisors (4467666236736).

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

2227234307904 is a wasteful number, since it uses less digits than its factorization.

2227234307904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160294 (or 160278 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 2227234307904 in words is "two trillion, two hundred twenty-seven billion, two hundred thirty-four million, three hundred seven thousand, nine hundred four".