1630013580 has 144 divisors (see below), whose sum is σ = 5438369664. Its totient is φ = 392670720.

The previous prime is 1630013579. The next prime is 1630013597. The reversal of 1630013580 is 853100361.

1630013580 is a `hidden beast` number, since 1 + 6 + 300 + 1 + 358 + 0 = 666.

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, 102570 + ... + 117390.

It is an arithmetic number, because the mean of its divisors is an integer number (37766456).

Almost surely, 2^1630013580 is an apocalyptic number.

1630013580 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 1630013580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719184832).

1630013580 is an abundant number, since it is smaller than the sum of its proper divisors (3808356084).

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

1630013580 is a wasteful number, since it uses less digits than its factorization.

1630013580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14896 (or 14891 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1630013580 is about 40373.4266566513. The cubic root of 1630013580 is about 1176.8751901769.

The spelling of 1630013580 in words is "one billion, six hundred thirty million, thirteen thousand, five hundred eighty".