2077688448 has 512 divisors, whose sum is σ = 7238246400. Its totient is φ = 580608000.

The previous prime is 2077688419. The next prime is 2077688449. The reversal of 2077688448 is 8448867702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2077688394 and 2077688403.

It is not an unprimeable number, because it can be changed into a prime (2077688449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48318315 + ... + 48318357.

It is an arithmetic number, because the mean of its divisors is an integer number (14137200).

Almost surely, 2^2077688448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077688448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619123200).

2077688448 is an abundant number, since it is smaller than the sum of its proper divisors (5160557952).

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

2077688448 is a wasteful number, since it uses less digits than its factorization.

2077688448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The square root of 2077688448 is about 45581.6678940120. The cubic root of 2077688448 is about 1276.0278162062.

The spelling of 2077688448 in words is "two billion, seventy-seven million, six hundred eighty-eight thousand, four hundred forty-eight".