2075374080 has 480 divisors, whose sum is σ = 7976208240. Its totient is φ = 498401280.

The previous prime is 2075374079. The next prime is 2075374099. The reversal of 2075374080 is 804735702.

2075374080 is a `hidden beast` number, since 2 + 0 + 7 + 537 + 40 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 559984896 + 1515389184 = 23664^2 + 38928^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2132 × 468 × 2080.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50618860 + ... + 50618900.

Almost surely, 2^2075374080 is an apocalyptic number.

2075374080 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 2075374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988104120).

2075374080 is an abundant number, since it is smaller than the sum of its proper divisors (5900834160).

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

2075374080 is an equidigital number, since it uses as much as digits as its factorization.

2075374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2075374080 is about 45556.2737721162. The cubic root of 2075374080 is about 1275.5538447334.

The spelling of 2075374080 in words is "two billion, seventy-five million, three hundred seventy-four thousand, eighty".