33242052480 has 512 divisors, whose sum is σ = 132591513600. Its totient is φ = 6896517120.

The previous prime is 33242052469. The next prime is 33242052491. The reversal of 33242052480 is 8425024233.

33242052480 = T₂₆₉₈₄ + T₂₆₉₈₅ + ... + T₂₇₀₇₄.

It is an interprime number because it is at equal distance from previous prime (33242052469) and next prime (33242052491).

It is a super-2 number, since 2×33242052480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10656361 + ... + 10659479.

It is an arithmetic number, because the mean of its divisors is an integer number (258967800).

Almost surely, 2^33242052480 is an apocalyptic number.

33242052480 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 33242052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66295756800).

33242052480 is an abundant number, since it is smaller than the sum of its proper divisors (99349461120).

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

33242052480 is a wasteful number, since it uses less digits than its factorization.

33242052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3210 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The spelling of 33242052480 in words is "thirty-three billion, two hundred forty-two million, fifty-two thousand, four hundred eighty".