2033226074880 has 3240 divisors, whose sum is σ = 9968488792416. Its totient is φ = 387142778880.

The previous prime is 2033226074839. The next prime is 2033226074881. The reversal of 2033226074880 is 884706223302.

2033226074880 is a `hidden beast` number, since 2 + 0 + 3 + 32 + 2 + 607 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2033226074881) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 14841066172 + ... + 14841066308.

Almost surely, 2^{2033226074880} is an apocalyptic number.

2033226074880 is a gapful number since it is divisible by the number (20) 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 2033226074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984244396208).

2033226074880 is an abundant number, since it is smaller than the sum of its proper divisors (7935262717536).

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

2033226074880 is a wasteful number, since it uses less digits than its factorization.

2033226074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2033226074880 in words is "two trillion, thirty-three billion, two hundred twenty-six million, seventy-four thousand, eight hundred eighty".