33342020010 has 256 divisors, whose sum is σ = 97461342720. Its totient is φ = 8062156800.

The previous prime is 33342019993. The next prime is 33342020017. The reversal of 33342020010 is 1002024333.

33342020010 is a `hidden beast` number, since 3 + 33 + 420 + 200 + 10 = 666.

It is a super-2 number, since 2×33342020010² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33342020017) 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, 57784842 + ... + 57785418.

It is an arithmetic number, because the mean of its divisors is an integer number (380708370).

Almost surely, 2^33342020010 is an apocalyptic number.

33342020010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33342020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48730671360).

33342020010 is an abundant number, since it is smaller than the sum of its proper divisors (64119322710).

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

33342020010 is a wasteful number, since it uses less digits than its factorization.

33342020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 33342020010 its reverse (1002024333), we get a palindrome (34344044343).

The spelling of 33342020010 in words is "thirty-three billion, three hundred forty-two million, twenty thousand, ten".