2557540800 has 252 divisors, whose sum is σ = 9188832016. Its totient is φ = 674611200.

The previous prime is 2557540787. The next prime is 2557540801. The reversal of 2557540800 is 80457552.

It is a happy number.

2557540800 is a `hidden beast` number, since 2 + 5 + 575 + 4 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557540801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1395885 + ... + 1397715.

Almost surely, 2^2557540800 is an apocalyptic number.

2557540800 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 2557540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594416008).

2557540800 is an abundant number, since it is smaller than the sum of its proper divisors (6631291216).

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

2557540800 is a wasteful number, since it uses less digits than its factorization.

2557540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 2557540800 is about 50572.1346197686. The cubic root of 2557540800 is about 1367.5425781644.

The spelling of 2557540800 in words is "two billion, five hundred fifty-seven million, five hundred forty thousand, eight hundred".