10024160220 has 72 divisors (see below), whose sum is σ = 32006978640. Its totient is φ = 2532418560.

The previous prime is 10024160203. The next prime is 10024160249. The reversal of 10024160220 is 2206142001.

10024160220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 41 + 602 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10024160193 and 10024160202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462101 + ... + 1468940.

It is an arithmetic number, because the mean of its divisors is an integer number (444541370).

Almost surely, 2^10024160220 is an apocalyptic number.

10024160220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024160220 is an abundant number, since it is smaller than the sum of its proper divisors (21982818420).

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

10024160220 is a wasteful number, since it uses less digits than its factorization.

10024160220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931075 (or 2931070 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

It can be divided in two parts, 100241 and 60220, that added together give a triangular number (160461 = T₅₆₆).

The spelling of 10024160220 in words is "ten billion, twenty-four million, one hundred sixty thousand, two hundred twenty".