2557491200 has 288 divisors, whose sum is σ = 7312032000. Its totient is φ = 877363200.

The previous prime is 2557491199. The next prime is 2557491217. The reversal of 2557491200 is 21947552.

It is a super-2 number, since 2×2557491200² = 13081522476154880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10700681 + ... + 10700919.

It is an arithmetic number, because the mean of its divisors is an integer number (25389000).

Almost surely, 2^2557491200 is an apocalyptic number.

2557491200 is a gapful number since it is divisible by the number (20) 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 2557491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016000).

2557491200 is an abundant number, since it is smaller than the sum of its proper divisors (4754540800).

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

2557491200 is a wasteful number, since it uses less digits than its factorization.

2557491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 2557491200 is about 50571.6442287573. The cubic root of 2557491200 is about 1367.5337375690.

The spelling of 2557491200 in words is "two billion, five hundred fifty-seven million, four hundred ninety-one thousand, two hundred".