30002248031840 has 768 divisors, whose sum is σ = 93462792192000. Its totient is φ = 9045769420800.

The previous prime is 30002248031831. The next prime is 30002248031851. The reversal of 30002248031840 is 4813084220003.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 30002248031840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 838713155 + ... + 838748925.

It is an arithmetic number, because the mean of its divisors is an integer number (121696344000).

Almost surely, 2^{30002248031840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30002248031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46731396096000).

30002248031840 is an abundant number, since it is smaller than the sum of its proper divisors (63460544160160).

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

30002248031840 is a wasteful number, since it uses less digits than its factorization.

30002248031840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35884 (or 35862 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The spelling of 30002248031840 in words is "thirty trillion, two billion, two hundred forty-eight million, thirty-one thousand, eight hundred forty".