2033087768448 has 1024 divisors, whose sum is σ = 6749723520000. Its totient is φ = 534238986240.

The previous prime is 2033087768443. The next prime is 2033087768471. The reversal of 2033087768448 is 8448677803302.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2033087768391 and 2033087768400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033087768443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13644884278 + ... + 13644884426.

It is an arithmetic number, because the mean of its divisors is an integer number (6591526875).

Almost surely, 2^{2033087768448} 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 2033087768448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374861760000).

2033087768448 is an abundant number, since it is smaller than the sum of its proper divisors (4716635751552).

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

2033087768448 is a wasteful number, since it uses less digits than its factorization.

2033087768448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 60.

It can be divided in two parts, 20330 and 87768448, that added together give a palindrome (87788778).

The spelling of 2033087768448 in words is "two trillion, thirty-three billion, eighty-seven million, seven hundred sixty-eight thousand, four hundred forty-eight".