2736864000 has 864 divisors, whose sum is σ = 11490583104. Its totient is φ = 619315200.

The previous prime is 2736863999. The next prime is 2736864007. The reversal of 2736864000 is 4686372.

2736864000 is a `hidden beast` number, since 2 + 7 + 3 + 6 + 8 + 640 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2736864007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 63647979 + ... + 63648021.

It is an arithmetic number, because the mean of its divisors is an integer number (13299286).

Almost surely, 2^2736864000 is an apocalyptic number.

2736864000 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 2736864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745291552).

2736864000 is an abundant number, since it is smaller than the sum of its proper divisors (8753719104).

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

2736864000 is a wasteful number, since it uses less digits than its factorization.

2736864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

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

The square root of 2736864000 is about 52315.0456369867. The cubic root of 2736864000 is about 1398.7853410080.

The spelling of 2736864000 in words is "two billion, seven hundred thirty-six million, eight hundred sixty-four thousand".