2057259648 has 128 divisors (see below), whose sum is σ = 5636960640. Its totient is φ = 664473600.

The previous prime is 2057259593. The next prime is 2057259649. The reversal of 2057259648 is 8469527502.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 2057259597 and 2057259606.

It is not an unprimeable number, because it can be changed into a prime (2057259649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1662486 + ... + 1663722.

It is an arithmetic number, because the mean of its divisors is an integer number (44038755).

Almost surely, 2^2057259648 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 2057259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818480320).

2057259648 is an abundant number, since it is smaller than the sum of its proper divisors (3579700992).

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

2057259648 is a wasteful number, since it uses less digits than its factorization.

2057259648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 2057259648 is about 45357.0242410148. The cubic root of 2057259648 is about 1271.8318673386.

The spelling of 2057259648 in words is "two billion, fifty-seven million, two hundred fifty-nine thousand, six hundred forty-eight".