2075225770800 has 1440 divisors, whose sum is σ = 9227213864960. Its totient is φ = 420127948800.

The previous prime is 2075225770799. The next prime is 2075225770837. The reversal of 2075225770800 is 80775225702.

2075225770800 is a `hidden beast` number, since 2 + 0 + 7 + 522 + 57 + 70 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1289760396 + ... + 1289762004.

Almost surely, 2^{2075225770800} is an apocalyptic number.

2075225770800 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 2075225770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613606932480).

2075225770800 is an abundant number, since it is smaller than the sum of its proper divisors (7151988094160).

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

2075225770800 is a wasteful number, since it uses less digits than its factorization.

2075225770800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The spelling of 2075225770800 in words is "two trillion, seventy-five billion, two hundred twenty-five million, seven hundred seventy thousand, eight hundred".