2234089009152 has 2340 divisors, whose sum is σ = 9424442783448. Its totient is φ = 518366822400.

The previous prime is 2234089009133. The next prime is 2234089009219. The reversal of 2234089009152 is 2519009804322.

2234089009152 is a `hidden beast` number, since 2 + 2 + 3 + 408 + 90 + 0 + 9 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2234089009098 and 2234089009107.

It is a congruent number.

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 72067387377 + ... + 72067387407.

Almost surely, 2^{2234089009152} is an apocalyptic number.

2234089009152 is a gapful number since it is divisible by the number (22) 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 2234089009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712221391724).

2234089009152 is an abundant number, since it is smaller than the sum of its proper divisors (7190353774296).

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

2234089009152 is a wasteful number, since it uses less digits than its factorization.

2234089009152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2234089009152 in words is "two trillion, two hundred thirty-four billion, eighty-nine million, nine thousand, one hundred fifty-two".