30541056000 has 1536 divisors, whose sum is σ = 137371852800. Its totient is φ = 5839257600.

The previous prime is 30541055971. The next prime is 30541056017. The reversal of 30541056000 is 65014503.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×30541056000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1327871989 + ... + 1327872011.

It is an arithmetic number, because the mean of its divisors is an integer number (89434800).

Almost surely, 2^30541056000 is an apocalyptic number.

30541056000 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 30541056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68685926400).

30541056000 is an abundant number, since it is smaller than the sum of its proper divisors (106830796800).

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

30541056000 is a wasteful number, since it uses less digits than its factorization.

30541056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 30541056000 in words is "thirty billion, five hundred forty-one million, fifty-six thousand".