2129177088900 has 405 divisors, whose sum is σ = 7145438953653. Its totient is φ = 548414452800.

The previous prime is 2129177088859. The next prime is 2129177088923. The reversal of 2129177088900 is 98807719212.

The square root of 2129177088900 is 1459170.

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

It can be written as a sum of positive squares in only one way, i.e., 766503752004 + 1362673336896 = 875502^2 + 1167336^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4071084039 + ... + 4071084561.

Almost surely, 2^{2129177088900} is an apocalyptic number.

2129177088900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2129177088900 is the 1459170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2129177088900

2129177088900 is an abundant number, since it is smaller than the sum of its proper divisors (5016261864753).

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

2129177088900 is an equidigital number, since it uses as much as digits as its factorization.

2129177088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 2129177088900 in words is "two trillion, one hundred twenty-nine billion, one hundred seventy-seven million, eighty-eight thousand, nine hundred".