2649340800 has 288 divisors, whose sum is σ = 9601539480. Its totient is φ = 695439360.

The previous prime is 2649340787. The next prime is 2649340801. The reversal of 2649340800 is 80439462.

It is a happy number.

2649340800 is a `hidden beast` number, since 2 + 649 + 3 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649340801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1928914 + ... + 1930286.

Almost surely, 2^2649340800 is an apocalyptic number.

2649340800 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 2649340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4800769740).

2649340800 is an abundant number, since it is smaller than the sum of its proper divisors (6952198680).

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

2649340800 is a wasteful number, since it uses less digits than its factorization.

2649340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2649340800 is about 51471.7475903043. The cubic root of 2649340800 is about 1383.7127495891.

The spelling of 2649340800 in words is "two billion, six hundred forty-nine million, three hundred forty thousand, eight hundred".