30149820540 has 288 divisors, whose sum is σ = 114858374400. Its totient is φ = 6528574080.

The previous prime is 30149820527. The next prime is 30149820541. The reversal of 30149820540 is 4502894103.

30149820540 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 98 + 20 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30149820495 and 30149820504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30149820541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 472755 + ... + 532725.

It is an arithmetic number, because the mean of its divisors is an integer number (398813800).

Almost surely, 2^30149820540 is an apocalyptic number.

30149820540 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 30149820540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57429187200).

30149820540 is an abundant number, since it is smaller than the sum of its proper divisors (84708553860).

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

30149820540 is a wasteful number, since it uses less digits than its factorization.

30149820540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60022 (or 60007 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 30149820540 in words is "thirty billion, one hundred forty-nine million, eight hundred twenty thousand, five hundred forty".