2778889000000 has 147 divisors (see below), whose sum is σ = 6896996463409. Its totient is φ = 1110888800000.

The previous prime is 2778888999949. The next prime is 2778889000007. The reversal of 2778889000000 is 9888772.

The square root of 2778889000000 is 1667000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 2434573537344 + 344315462656 = 1560312^2 + 586784^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2778888999899 and 2778888999908.

It is not an unprimeable number, because it can be changed into a prime (2778889000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1666999167 + ... + 1667000833.

Almost surely, 2^{2778889000000} is an apocalyptic number.

2778889000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2778889000000 is the 1667000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778889000000

2778889000000 is an abundant number, since it is smaller than the sum of its proper divisors (4118107463409).

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

2778889000000 is an frugal number, since it uses more digits than its factorization.

2778889000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 49.

Multiplying 2778889000000 by its sum of digits (49), we get a square (136165561000000 = 11669000²).

The spelling of 2778889000000 in words is "two trillion, seven hundred seventy-eight billion, eight hundred eighty-nine million", and thus it is an aban number.