2057677824 has 264 divisors, whose sum is σ = 6146797104. Its totient is φ = 609484800.

The previous prime is 2057677759. The next prime is 2057677829. The reversal of 2057677824 is 4287767502.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2057677829) 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 23 ways as a sum of consecutive naturals, for example, 50187244 + ... + 50187284.

Almost surely, 2^2057677824 is an apocalyptic number.

2057677824 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 2057677824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3073398552).

2057677824 is an abundant number, since it is smaller than the sum of its proper divisors (4089119280).

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

2057677824 is a wasteful number, since it uses less digits than its factorization.

2057677824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The square root of 2057677824 is about 45361.6338330091. The cubic root of 2057677824 is about 1271.9180359353.

The spelling of 2057677824 in words is "two billion, fifty-seven million, six hundred seventy-seven thousand, eight hundred twenty-four".