33052980240 has 240 divisors, whose sum is σ = 126985622400. Its totient is φ = 7547516928.

The previous prime is 33052980211. The next prime is 33052980271. The reversal of 33052980240 is 4208925033.

33052980240 is a `hidden beast` number, since 3 + 30 + 529 + 80 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 33052980195 and 33052980204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6342756 + ... + 6347964.

It is an arithmetic number, because the mean of its divisors is an integer number (529106760).

Almost surely, 2^33052980240 is an apocalyptic number.

33052980240 is a gapful number since it is divisible by the number (30) 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 33052980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63492811200).

33052980240 is an abundant number, since it is smaller than the sum of its proper divisors (93932642160).

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

33052980240 is a wasteful number, since it uses less digits than its factorization.

33052980240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 33052980240 in words is "thirty-three billion, fifty-two million, nine hundred eighty thousand, two hundred forty".