2634404400 has 90 divisors (see below), whose sum is σ = 9142127540. Its totient is φ = 702506880.

The previous prime is 2634404351. The next prime is 2634404407. The reversal of 2634404400 is 44044362.

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (2634404407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 362290 + ... + 369489.

Almost surely, 2^2634404400 is an apocalyptic number.

2634404400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2634404400 is an abundant number, since it is smaller than the sum of its proper divisors (6507723140).

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

2634404400 is a wasteful number, since it uses less digits than its factorization.

2634404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731803 (or 731789 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 2634404400 is about 51326.4493219626. The cubic root of 2634404400 is about 1381.1074915592.

Adding to 2634404400 its reverse (44044362), we get a palindrome (2678448762).

The spelling of 2634404400 in words is "two billion, six hundred thirty-four million, four hundred four thousand, four hundred".