2557682424 has 96 divisors (see below), whose sum is σ = 7761115440. Its totient is φ = 754099200.

The previous prime is 2557682423. The next prime is 2557682429. The reversal of 2557682424 is 4242867552.

It is a self number, because there is not a number n which added to its sum of digits gives 2557682424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557682423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14337 + ... + 72944.

Almost surely, 2^2557682424 is an apocalyptic number.

2557682424 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 2557682424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3880557720).

2557682424 is an abundant number, since it is smaller than the sum of its proper divisors (5203433016).

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

2557682424 is a wasteful number, since it uses less digits than its factorization.

2557682424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87341 (or 87334 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2557682424 is about 50573.5348181240. The cubic root of 2557682424 is about 1367.5678202870.

The spelling of 2557682424 in words is "two billion, five hundred fifty-seven million, six hundred eighty-two thousand, four hundred twenty-four".