2880134833216 has 63 divisors (see below), whose sum is σ = 5742254753847. Its totient is φ = 1433299397760.

The previous prime is 2880134833189. The next prime is 2880134833217. The reversal of 2880134833216 is 6123384310882.

The square root of 2880134833216 is 1697096.

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

It is a super-2 number, since 2×2880134833216² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2880134833216.

It is not an unprimeable number, because it can be changed into a prime (2880134833217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4168067431 + ... + 4168068121.

Almost surely, 2^{2880134833216} is an apocalyptic number.

2880134833216 is the 1697096-th square number.

It is an amenable number.

2880134833216 is a deficient number, since it is larger than the sum of its proper divisors (2862119920631).

2880134833216 is an frugal number, since it uses more digits than its factorization.

2880134833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

Multiplying 2880134833216 by its sum of digits (49), we get a square (141126606827584 = 11879672²).

The spelling of 2880134833216 in words is "two trillion, eight hundred eighty billion, one hundred thirty-four million, eight hundred thirty-three thousand, two hundred sixteen".