2903960218201 has 27 divisors (see below), whose sum is σ = 3491006083263. Its totient is φ = 2408508189360.

The previous prime is 2903960218189. The next prime is 2903960218223. The reversal of 2903960218201 is 1028120693092.

The square root of 2903960218201 is 1704101.

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., 59597015625 + 2844363202576 = 244125^2 + 1686524^2 .

It is not a de Polignac number, because 2903960218201 - 2⁹ = 2903960217689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2903960258201) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 369785991 + ... + 369793843.

Almost surely, 2^{2903960218201} is an apocalyptic number.

2903960218201 is the 1704101-st square number.

2903960218201 is the 852051-st centered octagonal number.

It is an amenable number.

2903960218201 is a deficient number, since it is larger than the sum of its proper divisors (587045865062).

2903960218201 is an frugal number, since it uses more digits than its factorization.

2903960218201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15782 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 2903960218201 in words is "two trillion, nine hundred three billion, nine hundred sixty million, two hundred eighteen thousand, two hundred one".