2075189424 has 320 divisors, whose sum is σ = 7285248000. Its totient is φ = 492549120.

The previous prime is 2075189407. The next prime is 2075189447. The reversal of 2075189424 is 4249815702.

It is a super-2 number, since 2×2075189424² = 8612822290962903552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2035987 + ... + 2037005.

It is an arithmetic number, because the mean of its divisors is an integer number (22766400).

Almost surely, 2^2075189424 is an apocalyptic number.

2075189424 is a gapful number since it is divisible by the number (24) 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 2075189424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642624000).

2075189424 is an abundant number, since it is smaller than the sum of its proper divisors (5210058576).

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

2075189424 is a wasteful number, since it uses less digits than its factorization.

2075189424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2075189424 is about 45554.2470467903. The cubic root of 2075189424 is about 1275.5160128940.

The spelling of 2075189424 in words is "two billion, seventy-five million, one hundred eighty-nine thousand, four hundred twenty-four".