2412020160 has 448 divisors, whose sum is σ = 9524390400. Its totient is φ = 569548800.

The previous prime is 2412020159. The next prime is 2412020173. The reversal of 2412020160 is 610202142.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3896331 + ... + 3896949.

It is an arithmetic number, because the mean of its divisors is an integer number (21259800).

Almost surely, 2^2412020160 is an apocalyptic number.

2412020160 is a gapful number since it is divisible by the number (20) 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 2412020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4762195200).

2412020160 is an abundant number, since it is smaller than the sum of its proper divisors (7112370240).

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

2412020160 is a wasteful number, since it uses less digits than its factorization.

2412020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 681 counting only the distinct ones).

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

The square root of 2412020160 is about 49112.3218754724. The cubic root of 2412020160 is about 1341.0973709256.

The spelling of 2412020160 in words is "two billion, four hundred twelve million, twenty thousand, one hundred sixty".