2688134400 has 648 divisors, whose sum is σ = 11268653760. Its totient is φ = 598671360.

The previous prime is 2688134389. The next prime is 2688134411. The reversal of 2688134400 is 44318862.

It is an interprime number because it is at equal distance from previous prime (2688134389) and next prime (2688134411).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 23788744 + ... + 23788856.

Almost surely, 2^2688134400 is an apocalyptic number.

2688134400 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 2688134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634326880).

2688134400 is an abundant number, since it is smaller than the sum of its proper divisors (8580519360).

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

2688134400 is a wasteful number, since it uses less digits than its factorization.

2688134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2688134400 is about 51847.2217192011. The cubic root of 2688134400 is about 1390.4338310793.

The spelling of 2688134400 in words is "two billion, six hundred eighty-eight million, one hundred thirty-four thousand, four hundred".