30899346240 has 224 divisors, whose sum is σ = 113473382400. Its totient is φ = 6977488896.

The previous prime is 30899346223. The next prime is 30899346241. The reversal of 30899346240 is 4264399803.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 30899346240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30899346241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530061 + ... + 585459.

It is an arithmetic number, because the mean of its divisors is an integer number (506577600).

Almost surely, 2^30899346240 is an apocalyptic number.

30899346240 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 30899346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56736691200).

30899346240 is an abundant number, since it is smaller than the sum of its proper divisors (82574036160).

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

30899346240 is a wasteful number, since it uses less digits than its factorization.

30899346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55509 (or 55499 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 30899346240 in words is "thirty billion, eight hundred ninety-nine million, three hundred forty-six thousand, two hundred forty".