2536540400 has 30 divisors (see below), whose sum is σ = 6094039272. Its totient is φ = 1014616000.

The previous prime is 2536540381. The next prime is 2536540411. The reversal of 2536540400 is 40456352.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3170276 + ... + 3171075.

Almost surely, 2^2536540400 is an apocalyptic number.

2536540400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2536540400 is an abundant number, since it is smaller than the sum of its proper divisors (3557498872).

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

2536540400 is a wasteful number, since it uses less digits than its factorization.

2536540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341369 (or 6341358 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2536540400 is about 50364.0784686864. The cubic root of 2536540400 is about 1363.7892451354.

Adding to 2536540400 its reverse (40456352), we get a palindrome (2576996752).

The spelling of 2536540400 in words is "two billion, five hundred thirty-six million, five hundred forty thousand, four hundred".