2033261050464 has 1536 divisors, whose sum is σ = 7691894784000. Its totient is φ = 509657702400.

The previous prime is 2033261050463. The next prime is 2033261050543. The reversal of 2033261050464 is 4640501623302.

2033261050464 is a `hidden beast` number, since 2 + 0 + 3 + 32 + 61 + 0 + 504 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033261050463) 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 255 ways as a sum of consecutive naturals, for example, 8878869102 + ... + 8878869330.

It is an arithmetic number, because the mean of its divisors is an integer number (5007744000).

Almost surely, 2^{2033261050464} is an apocalyptic number.

2033261050464 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 2033261050464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845947392000).

2033261050464 is an abundant number, since it is smaller than the sum of its proper divisors (5658633733536).

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

2033261050464 is a wasteful number, since it uses less digits than its factorization.

2033261050464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 2033261050464 its reverse (4640501623302), we get a palindrome (6673762673766).

The spelling of 2033261050464 in words is "two trillion, thirty-three billion, two hundred sixty-one million, fifty thousand, four hundred sixty-four".