2075058819072 has 364 divisors, whose sum is σ = 6240684598884. Its totient is φ = 689563238400.

The previous prime is 2075058818999. The next prime is 2075058819073. The reversal of 2075058819072 is 2709188505702.

2075058819072 is a `hidden beast` number, since 2 + 0 + 7 + 50 + 588 + 1 + 9 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1648409481216 + 426649337856 = 1283904^2 + 653184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075058819073) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1197378718 + ... + 1197380450.

Almost surely, 2^{2075058819072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075058819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120342299442).

2075058819072 is an abundant number, since it is smaller than the sum of its proper divisors (4165625779812).

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

2075058819072 is an frugal number, since it uses more digits than its factorization.

2075058819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 2075058819072 in words is "two trillion, seventy-five billion, fifty-eight million, eight hundred nineteen thousand, seventy-two".