2011489792900 has 81 divisors (see below), whose sum is σ = 5077825569327. Its totient is φ = 689619604800.

The previous prime is 2011489792877. The next prime is 2011489792931. The reversal of 2011489792900 is 92979841102.

The square root of 2011489792900 is 1418270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1071179460484 + 940310332416 = 1034978^2 + 969696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 99268770 + ... + 99289030.

Almost surely, 2^{2011489792900} is an apocalyptic number.

2011489792900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2011489792900 is the 1418270-th square number.

It is an amenable number.

2011489792900 is an abundant number, since it is smaller than the sum of its proper divisors (3066335776427).

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

2011489792900 is an frugal number, since it uses more digits than its factorization.

2011489792900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40550 (or 20275 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 52.

The spelling of 2011489792900 in words is "two trillion, eleven billion, four hundred eighty-nine million, seven hundred ninety-two thousand, nine hundred".