2876921430201 has 405 divisors, whose sum is σ = 5766226456221. Its totient is φ = 1424439499392.

The previous prime is 2876921430181. The next prime is 2876921430233. The reversal of 2876921430201 is 1020341296782.

The square root of 2876921430201 is 1696149.

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

2876921430201 is a `hidden beast` number, since 2 + 8 + 7 + 6 + 9 + 2 + 1 + 430 + 201 = 666.

2876921430201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 100619012025 + 2776302418176 = 317205^2 + 1666224^2 .

It is not a de Polignac number, because 2876921430201 - 2⁷ = 2876921430073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2876921438201) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 26393774535 + ... + 26393774643.

Almost surely, 2^{2876921430201} is an apocalyptic number.

2876921430201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2876921430201 is the 1696149-th square number.

2876921430201 is the 848075-th centered octagonal number.

It is an amenable number.

2876921430201 is an abundant number, since it is smaller than the sum of its proper divisors (2889305026020).

2876921430201 is a wasteful number, since it uses less digits than its factorization.

2876921430201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2876921430201 in words is "two trillion, eight hundred seventy-six billion, nine hundred twenty-one million, four hundred thirty thousand, two hundred one".