2077544448 has 312 divisors, whose sum is σ = 7012544448. Its totient is φ = 580386816.

The previous prime is 2077544429. The next prime is 2077544477. The reversal of 2077544448 is 8444457702.

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, 21417936 + ... + 21418032.

It is an arithmetic number, because the mean of its divisors is an integer number (22476104).

Almost surely, 2^2077544448 is an apocalyptic number.

2077544448 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 2077544448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506272224).

2077544448 is an abundant number, since it is smaller than the sum of its proper divisors (4935000000).

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

2077544448 is an equidigital number, since it uses as much as digits as its factorization.

2077544448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 45.

The square root of 2077544448 is about 45580.0882842497. The cubic root of 2077544448 is about 1275.9983359681.

The spelling of 2077544448 in words is "two billion, seventy-seven million, five hundred forty-four thousand, four hundred forty-eight".