33254994240 has 336 divisors, whose sum is σ = 125210017296. Its totient is φ = 8051097600.

The previous prime is 33254994233. The next prime is 33254994247. The reversal of 33254994240 is 4249945233.

It is an interprime number because it is at equal distance from previous prime (33254994233) and next prime (33254994247).

It can be written as a sum of positive squares in 8 ways, for example, as 3742502976 + 29512491264 = 61176^2 + 171792^2 .

It is a super-2 number, since 2×33254994240² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33254994247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2276560 + ... + 2291120.

It is an arithmetic number, because the mean of its divisors is an integer number (372648861).

Almost surely, 2^33254994240 is an apocalyptic number.

33254994240 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 33254994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62605008648).

33254994240 is an abundant number, since it is smaller than the sum of its proper divisors (91955023056).

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

33254994240 is a wasteful number, since it uses less digits than its factorization.

33254994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14658 (or 14645 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 33254994240 in words is "thirty-three billion, two hundred fifty-four million, nine hundred ninety-four thousand, two hundred forty".