30284802240 has 448 divisors, whose sum is σ = 126195978240. Its totient is φ = 5961461760.

The previous prime is 30284802217. The next prime is 30284802271. The reversal of 30284802240 is 4220848203.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-4 number, since 4×30284802240⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393699 + ... + 1415261.

Almost surely, 2^30284802240 is an apocalyptic number.

30284802240 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 30284802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63097989120).

30284802240 is an abundant number, since it is smaller than the sum of its proper divisors (95911176000).

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

30284802240 is a wasteful number, since it uses less digits than its factorization.

30284802240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21620 (or 21610 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 30284802240 in words is "thirty billion, two hundred eighty-four million, eight hundred two thousand, two hundred forty".