2778262243344 has 135 divisors (see below), whose sum is σ = 9045164168703. Its totient is φ = 793749208896.

The previous prime is 2778262243333. The next prime is 2778262243397. The reversal of 2778262243344 is 4433422628772.

It is a happy number.

The square root of 2778262243344 is 1666812.

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

2778262243344 is a `hidden beast` number, since 2 + 7 + 7 + 8 + 2 + 622 + 4 + 3 + 3 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140002287 + ... + 140022129.

Almost surely, 2^{2778262243344} is an apocalyptic number.

2778262243344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2778262243344 is the 1666812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778262243344

2778262243344 is an abundant number, since it is smaller than the sum of its proper divisors (6266901925359).

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

2778262243344 is an frugal number, since it uses more digits than its factorization.

2778262243344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39714 (or 19855 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 54.

The spelling of 2778262243344 in words is "two trillion, seven hundred seventy-eight billion, two hundred sixty-two million, two hundred forty-three thousand, three hundred forty-four".