2075860800 has 378 divisors, whose sum is σ = 7998669042. Its totient is φ = 510382080.

The previous prime is 2075860763. The next prime is 2075860811. The reversal of 2075860800 is 80685702.

It can be written as a sum of positive squares in 9 ways, for example, as 1798438464 + 277422336 = 42408^2 + 16656^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2433174 + ... + 2434026.

Almost surely, 2^2075860800 is an apocalyptic number.

2075860800 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 2075860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999334521).

2075860800 is an abundant number, since it is smaller than the sum of its proper divisors (5922808242).

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

2075860800 is a wasteful number, since it uses less digits than its factorization.

2075860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2075860800 is about 45561.6154235119. The cubic root of 2075860800 is about 1275.6535519053.

The spelling of 2075860800 in words is "two billion, seventy-five million, eight hundred sixty thousand, eight hundred".