2542553600 has 60 divisors (see below), whose sum is σ = 6299406894. Its totient is φ = 1017016320.

The previous prime is 2542553597. The next prime is 2542553633. The reversal of 2542553600 is 63552452.

It can be written as a sum of positive squares in 3 ways, for example, as 2080819456 + 461734144 = 45616^2 + 21488^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86519 + ... + 112118.

Almost surely, 2^2542553600 is an apocalyptic number.

2542553600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542553600 is an abundant number, since it is smaller than the sum of its proper divisors (3756853294).

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

2542553600 is an equidigital number, since it uses as much as digits as its factorization.

2542553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198665 (or 198644 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 2542553600 is about 50423.7404403918. The cubic root of 2542553600 is about 1364.8660747816.

The spelling of 2542553600 in words is "two billion, five hundred forty-two million, five hundred fifty-three thousand, six hundred".