8130034080 has 288 divisors, whose sum is σ = 32446237824. Its totient is φ = 1814980608.

The previous prime is 8130034079. The next prime is 8130034093. The reversal of 8130034080 is 804300318.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8130034080² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424062 + ... + 442818.

It is an arithmetic number, because the mean of its divisors is an integer number (112660548).

Almost surely, 2^8130034080 is an apocalyptic number.

8130034080 is a gapful number since it is divisible by the number (80) 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 8130034080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16223118912).

8130034080 is an abundant number, since it is smaller than the sum of its proper divisors (24316203744).

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

8130034080 is a wasteful number, since it uses less digits than its factorization.

8130034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18828 (or 18817 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8130034080 is about 90166.7016142877. The cubic root of 8130034080 is about 2010.7779865014. Note that the first 3 decimals are identical.

Adding to 8130034080 its reverse (804300318), we get a palindrome (8934334398).

The spelling of 8130034080 in words is "eight billion, one hundred thirty million, thirty-four thousand, eighty".