2010537809280 has 1536 divisors, whose sum is σ = 9727512238080. Its totient is φ = 368846438400.

The previous prime is 2010537809251. The next prime is 2010537809297. The reversal of 2010537809280 is 829087350102.

It is a happy number.

2010537809280 is a `hidden beast` number, since 2 + 0 + 10 + 537 + 80 + 9 + 28 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 132604900 + ... + 132620060.

It is an arithmetic number, because the mean of its divisors is an integer number (6333015780).

Almost surely, 2^{2010537809280} is an apocalyptic number.

2010537809280 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 2010537809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863756119040).

2010537809280 is an abundant number, since it is smaller than the sum of its proper divisors (7716974428800).

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

2010537809280 is a wasteful number, since it uses less digits than its factorization.

2010537809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15240 (or 15225 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2010537809280 in words is "two trillion, ten billion, five hundred thirty-seven million, eight hundred nine thousand, two hundred eighty".