2261765322432 has 1512 divisors, whose sum is σ = 9055743453120. Its totient is φ = 556120857600.

The previous prime is 2261765322403. The next prime is 2261765322437. The reversal of 2261765322432 is 2342235671622.

2261765322432 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 76 + 532 + 2 + 43 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is not an unprimeable number, because it can be changed into a prime (2261765322437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1751947707 + ... + 1751948997.

Almost surely, 2^{2261765322432} is an apocalyptic number.

2261765322432 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 2261765322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4527871726560).

2261765322432 is an abundant number, since it is smaller than the sum of its proper divisors (6793978130688).

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

2261765322432 is a wasteful number, since it uses less digits than its factorization.

2261765322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1333 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 2261765322432 in words is "two trillion, two hundred sixty-one billion, seven hundred sixty-five million, three hundred twenty-two thousand, four hundred thirty-two".