2778855660100 has 81 divisors (see below), whose sum is σ = 6530162337783. Its totient is φ = 1025958997440.

The previous prime is 2778855660059. The next prime is 2778855660127. The reversal of 2778855660100 is 10665588772.

The square root of 2778855660100 is 1666990.

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

It can be written as a sum of positive squares in 4 ways, for example, as 716254157124 + 2062601502976 = 846318^2 + 1436176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 216702289 + ... + 216715111.

Almost surely, 2^{2778855660100} is an apocalyptic number.

2778855660100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2778855660100 is the 1666990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2778855660100

2778855660100 is an abundant number, since it is smaller than the sum of its proper divisors (3751306677683).

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

2778855660100 is an equidigital number, since it uses as much as digits as its factorization.

2778855660100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25686 (or 12843 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 2778855660100 in words is "two trillion, seven hundred seventy-eight billion, eight hundred fifty-five million, six hundred sixty thousand, one hundred".