2774400680 has 32 divisors (see below), whose sum is σ = 6609603240. Its totient is φ = 1044480000.

The previous prime is 2774400659. The next prime is 2774400683. The reversal of 2774400680 is 860044772.

It can be written as a sum of positive squares in 4 ways, for example, as 2626972516 + 147428164 = 51254^2 + 12142^2 .

It is not an unprimeable number, because it can be changed into a prime (2774400683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2039321 + ... + 2040680.

Almost surely, 2^2774400680 is an apocalyptic number.

2774400680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2774400680 is an abundant number, since it is smaller than the sum of its proper divisors (3835202560).

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

2774400680 is a wasteful number, since it uses less digits than its factorization.

2774400680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080029 (or 4080025 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 2774400680 is about 52672.5799633927. The cubic root of 2774400680 is about 1405.1512069041.

The spelling of 2774400680 in words is "two billion, seven hundred seventy-four million, four hundred thousand, six hundred eighty".