2889864001600 has 63 divisors (see below), whose sum is σ = 7111038931437. Its totient is φ = 1155918401280.

The previous prime is 2889864001573. The next prime is 2889864001603. The reversal of 2889864001600 is 61004689882.

The square root of 2889864001600 is 1699960.

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., 1040351040576 + 1849512961024 = 1019976^2 + 1359968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2889864001603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67977151 + ... + 68019649.

Almost surely, 2^{2889864001600} is an apocalyptic number.

2889864001600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2889864001600 is the 1699960-th square number.

It is an amenable number.

2889864001600 is an abundant number, since it is smaller than the sum of its proper divisors (4221174929837).

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

2889864001600 is an frugal number, since it uses more digits than its factorization.

2889864001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85020 (or 42506 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 52.

The spelling of 2889864001600 in words is "two trillion, eight hundred eighty-nine billion, eight hundred sixty-four million, one thousand, six hundred".