2075224320 has 576 divisors, whose sum is σ = 8241408000. Its totient is φ = 491028480.

The previous prime is 2075224309. The next prime is 2075224373. The reversal of 2075224320 is 234225702.

2075224320 is a `hidden beast` number, since 207 + 5 + 22 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 13927606 + ... + 13927754.

It is an arithmetic number, because the mean of its divisors is an integer number (14308000).

Almost surely, 2^2075224320 is an apocalyptic number.

2075224320 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 2075224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4120704000).

2075224320 is an abundant number, since it is smaller than the sum of its proper divisors (6166183680).

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

2075224320 is a wasteful number, since it uses less digits than its factorization.

2075224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2075224320 is about 45554.6300610597. The cubic root of 2075224320 is about 1275.5231624674.

The spelling of 2075224320 in words is "two billion, seventy-five million, two hundred twenty-four thousand, three hundred twenty".