2090529897300 has 648 divisors, whose sum is σ = 7721306539128. Its totient is φ = 468655718400.

The previous prime is 2090529897293. The next prime is 2090529897311. The reversal of 2090529897300 is 37989250902.

2090529897300 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 529 + 89 + 7 + 30 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 176546190276 + 1913983707024 = 420174^2 + 1383468^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 191137432 + ... + 191148368.

It is an arithmetic number, because the mean of its divisors is an integer number (11915596511).

Almost surely, 2^{2090529897300} is an apocalyptic number.

2090529897300 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 2090529897300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860653269564).

2090529897300 is an abundant number, since it is smaller than the sum of its proper divisors (5630776641828).

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

2090529897300 is a wasteful number, since it uses less digits than its factorization.

2090529897300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11049 (or 11008 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 2090529897300 in words is "two trillion, ninety billion, five hundred twenty-nine million, eight hundred ninety-seven thousand, three hundred".