2774444064 has 192 divisors, whose sum is σ = 8862400512. Its totient is φ = 741888000.

The previous prime is 2774444063. The next prime is 2774444089. The reversal of 2774444064 is 4604444772.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2774444063) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2409889 + ... + 2411039.

It is an arithmetic number, because the mean of its divisors is an integer number (46158336).

Almost surely, 2^2774444064 is an apocalyptic number.

2774444064 is a gapful number since it is divisible by the number (24) 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 2774444064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431200256).

2774444064 is an abundant number, since it is smaller than the sum of its proper divisors (6087956448).

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

2774444064 is a wasteful number, since it uses less digits than its factorization.

2774444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 42.

The square root of 2774444064 is about 52672.9917889614. The cubic root of 2774444064 is about 1405.1585311000.

The spelling of 2774444064 in words is "two billion, seven hundred seventy-four million, four hundred forty-four thousand, sixty-four".