2774193408 has 216 divisors, whose sum is σ = 9544335360. Its totient is φ = 792529920.

The previous prime is 2774193347. The next prime is 2774193431. The reversal of 2774193408 is 8043914772.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2774193408² = 15392298129981308928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 334593 + ... + 342783.

Almost surely, 2^2774193408 is an apocalyptic number.

2774193408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2774193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772167680).

2774193408 is an abundant number, since it is smaller than the sum of its proper divisors (6770141952).

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

2774193408 is an equidigital number, since it uses as much as digits as its factorization.

2774193408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8230 (or 8203 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2774193408 is about 52670.6123754034. The cubic root of 2774193408 is about 1405.1162136704.

The spelling of 2774193408 in words is "two billion, seven hundred seventy-four million, one hundred ninety-three thousand, four hundred eight".