512218080 has 240 divisors, whose sum is σ = 1972588464. Its totient is φ = 124139520.

The previous prime is 512218061. The next prime is 512218081. The reversal of 512218080 is 80812215.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×512218080² = 524734722957772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512218081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 140764 + ... + 144356.

Almost surely, 2^512218080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512218080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986294232).

512218080 is an abundant number, since it is smaller than the sum of its proper divisors (1460370384).

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

512218080 is a wasteful number, since it uses less digits than its factorization.

512218080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 512218080 is about 22632.2354176515. The cubic root of 512218080 is about 800.1135672107.

The spelling of 512218080 in words is "five hundred twelve million, two hundred eighteen thousand, eighty".