30219002880 has 176 divisors, whose sum is σ = 105440871744. Its totient is φ = 7325777920.

The previous prime is 30219002857. The next prime is 30219002881. The reversal of 30219002880 is 8820091203.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×30219002880² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30219002881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79534 + ... + 258386.

Almost surely, 2^30219002880 is an apocalyptic number.

30219002880 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 30219002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52720435872).

30219002880 is an abundant number, since it is smaller than the sum of its proper divisors (75221868864).

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

30219002880 is a wasteful number, since it uses less digits than its factorization.

30219002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178892 (or 178874 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 30219002880 in words is "thirty billion, two hundred nineteen million, two thousand, eight hundred eighty".