2736806400 has 240 divisors, whose sum is σ = 10046678400. Its totient is φ = 729722880.

The previous prime is 2736806329. The next prime is 2736806411. The reversal of 2736806400 is 46086372.

2736806400 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341641 + ... + 349559.

It is an arithmetic number, because the mean of its divisors is an integer number (41861160).

Almost surely, 2^2736806400 is an apocalyptic number.

2736806400 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 2736806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023339200).

2736806400 is an abundant number, since it is smaller than the sum of its proper divisors (7309872000).

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

2736806400 is an equidigital number, since it uses as much as digits as its factorization.

2736806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7929 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2736806400 is about 52314.4951232448. The cubic root of 2736806400 is about 1398.7755280005.

The spelling of 2736806400 in words is "two billion, seven hundred thirty-six million, eight hundred six thousand, four hundred".