2271219784704 has 264 divisors, whose sum is σ = 7118225354240. Its totient is φ = 693329559552.

The previous prime is 2271219784697. The next prime is 2271219784709. The reversal of 2271219784704 is 4074879121722.

It is a happy number.

2271219784704 is a `hidden beast` number, since 22 + 71 + 2 + 19 + 78 + 470 + 4 = 666.

It is a super-2 number, since 2×2271219784704² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2271219784709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15140982 + ... + 15290250.

Almost surely, 2^{2271219784704} is an apocalyptic number.

2271219784704 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 2271219784704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3559112677120).

2271219784704 is an abundant number, since it is smaller than the sum of its proper divisors (4847005569536).

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

2271219784704 is a wasteful number, since it uses less digits than its factorization.

2271219784704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149435 (or 149414 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 2271219784704 in words is "two trillion, two hundred seventy-one billion, two hundred nineteen million, seven hundred eighty-four thousand, seven hundred four".