1540330000 has 300 divisors, whose sum is σ = 4379285680. Its totient is φ = 522720000.

The previous prime is 1540329991. The next prime is 1540330009. The reversal of 1540330000 is 330451.

It is an interprime number because it is at equal distance from previous prime (1540329991) and next prime (1540330009).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1540330009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22989967 + ... + 22990033.

Almost surely, 2^1540330000 is an apocalyptic number.

1540330000 is a gapful number since it is divisible by the number (10) 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 1540330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189642840).

1540330000 is an abundant number, since it is smaller than the sum of its proper divisors (2838955680).

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

1540330000 is a wasteful number, since it uses less digits than its factorization.

1540330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1540330000 is about 39247.0381048048. The cubic root of 1540330000 is about 1154.8828301397.

Adding to 1540330000 its reverse (330451), we get a palindrome (1540660451).

The spelling of 1540330000 in words is "one billion, five hundred forty million, three hundred thirty thousand".