2129017536900 has 216 divisors, whose sum is σ = 7081318094760. Its totient is φ = 533170667520.

The previous prime is 2129017536797. The next prime is 2129017536911. The reversal of 2129017536900 is 96357109212.

It is a happy number.

2129017536900 is a `hidden beast` number, since 2 + 1 + 29 + 0 + 1 + 7 + 536 + 90 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 382242954564 + 1746774582336 = 618258^2 + 1321656^2 .

It is a super-2 number, since 2×2129017536900² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6839856 + ... + 7144344.

Almost surely, 2^{2129017536900} is an apocalyptic number.

2129017536900 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 2129017536900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540659047380).

2129017536900 is an abundant number, since it is smaller than the sum of its proper divisors (4952300557860).

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

2129017536900 is a wasteful number, since it uses less digits than its factorization.

2129017536900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304983 (or 304973 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 2129017536900 in words is "two trillion, one hundred twenty-nine billion, seventeen million, five hundred thirty-six thousand, nine hundred".