2010532598880 has 384 divisors, whose sum is σ = 6912819365760. Its totient is φ = 488216002560.

The previous prime is 2010532598813. The next prime is 2010532598887. The reversal of 2010532598880 is 888952350102.

It is a super-4 number, since 4×2010532598880⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010532598887) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 256017034 + ... + 256024886.

It is an arithmetic number, because the mean of its divisors is an integer number (18002133765).

Almost surely, 2^{2010532598880} is an apocalyptic number.

2010532598880 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 2010532598880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456409682880).

2010532598880 is an abundant number, since it is smaller than the sum of its proper divisors (4902286766880).

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

2010532598880 is a wasteful number, since it uses less digits than its factorization.

2010532598880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8434 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 51.

The spelling of 2010532598880 in words is "two trillion, ten billion, five hundred thirty-two million, five hundred ninety-eight thousand, eight hundred eighty".