2774134000 has 80 divisors (see below), whose sum is σ = 7317719136. Its totient is φ = 1008768000.

The previous prime is 2774133959. The next prime is 2774134019. The reversal of 2774134000 is 4314772.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2774134000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 41049 + ... + 85048.

Almost surely, 2^2774134000 is an apocalyptic number.

2774134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2774134000 is an abundant number, since it is smaller than the sum of its proper divisors (4543585136).

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

2774134000 is a wasteful number, since it uses less digits than its factorization.

2774134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126131 (or 126115 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 2774134000 is about 52670.0484146350. The cubic root of 2774134000 is about 1405.1061836392.

Adding to 2774134000 its reverse (4314772), we get a palindrome (2778448772).

The spelling of 2774134000 in words is "two billion, seven hundred seventy-four million, one hundred thirty-four thousand".