2010998590920 has 1536 divisors, whose sum is σ = 8047292198400. Its totient is φ = 429903052800.

The previous prime is 2010998590883. The next prime is 2010998590927. The reversal of 2010998590920 is 290958990102.

2010998590920 is a `hidden beast` number, since 20 + 1 + 0 + 9 + 9 + 8 + 590 + 9 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (2010998590927) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8630895124 + ... + 8630895356.

It is an arithmetic number, because the mean of its divisors is an integer number (5239122525).

Almost surely, 2^{2010998590920} is an apocalyptic number.

2010998590920 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 2010998590920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023646099200).

2010998590920 is an abundant number, since it is smaller than the sum of its proper divisors (6036293607480).

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

2010998590920 is a wasteful number, since it uses less digits than its factorization.

2010998590920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 2010998590920 in words is "two trillion, ten billion, nine hundred ninety-eight million, five hundred ninety thousand, nine hundred twenty".