2842970304321 has 81 divisors (see below), whose sum is σ = 5075565508611. Its totient is φ = 1528668699264.

The previous prime is 2842970304281. The next prime is 2842970304329. The reversal of 2842970304321 is 1234030792482.

The square root of 2842970304321 is 1686111.

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

2842970304321 is a `hidden beast` number, since 2 + 8 + 4 + 297 + 0 + 30 + 4 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2213385185025 + 629585119296 = 1487745^2 + 793464^2 .

It is not a de Polignac number, because 2842970304321 - 2⁷ = 2842970304193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2842970304329) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 601939266 + ... + 601943988.

Almost surely, 2^{2842970304321} is an apocalyptic number.

2842970304321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2842970304321 is the 1686111-st square number.

2842970304321 is the 843056-th centered octagonal number.

It is an amenable number.

2842970304321 is a deficient number, since it is larger than the sum of its proper divisors (2232595204290).

2842970304321 is an frugal number, since it uses more digits than its factorization.

2842970304321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2842970304321 in words is "two trillion, eight hundred forty-two billion, nine hundred seventy million, three hundred four thousand, three hundred twenty-one".