2234097073728 has 1344 divisors, whose sum is σ = 7807191091200. Its totient is φ = 624060702720.

The previous prime is 2234097073693. The next prime is 2234097073729. The reversal of 2234097073728 is 8273707904322.

It is a happy number.

2234097073728 is a `hidden beast` number, since 223 + 40 + 9 + 7 + 0 + 7 + 372 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2234097073729) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20879411851 + ... + 20879411957.

Almost surely, 2^{2234097073728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234097073728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903595545600).

2234097073728 is an abundant number, since it is smaller than the sum of its proper divisors (5573094017472).

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

2234097073728 is a wasteful number, since it uses less digits than its factorization.

2234097073728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 2234097073728 in words is "two trillion, two hundred thirty-four billion, ninety-seven million, seventy-three thousand, seven hundred twenty-eight".