30049635840 has 320 divisors, whose sum is σ = 112763211264. Its totient is φ = 6682411008.

The previous prime is 30049635817. The next prime is 30049635851. The reversal of 30049635840 is 4853694003.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×30049635840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 30049635792 and 30049635801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981567 + ... + 1996673.

Almost surely, 2^30049635840 is an apocalyptic number.

30049635840 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 30049635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56381605632).

30049635840 is an abundant number, since it is smaller than the sum of its proper divisors (82713575424).

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

30049635840 is a wasteful number, since it uses less digits than its factorization.

30049635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15177 (or 15161 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 30049635840 in words is "thirty billion, forty-nine million, six hundred thirty-five thousand, eight hundred forty".