2557709952 has 128 divisors (see below), whose sum is σ = 7974637440. Its totient is φ = 710995968.

The previous prime is 2557709941. The next prime is 2557709953. The reversal of 2557709952 is 2599077552.

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

It is a junction number, because it is equal to n+sod(n) for n = 2557709895 and 2557709904.

It is not an unprimeable number, because it can be changed into a prime (2557709953) 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 15 ways as a sum of consecutive naturals, for example, 86598 + ... + 112314.

It is an arithmetic number, because the mean of its divisors is an integer number (62301855).

Almost surely, 2^2557709952 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 2557709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987318720).

2557709952 is an abundant number, since it is smaller than the sum of its proper divisors (5416927488).

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

2557709952 is a wasteful number, since it uses less digits than its factorization.

2557709952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25778 (or 25766 counting only the distinct ones).

The product of its (nonzero) digits is 1984500, while the sum is 51.

The square root of 2557709952 is about 50573.8069755481. The cubic root of 2557709952 is about 1367.5727265870.

The spelling of 2557709952 in words is "two billion, five hundred fifty-seven million, seven hundred nine thousand, nine hundred fifty-two".