2400047680 has 56 divisors (see below), whose sum is σ = 5765776632. Its totient is φ = 951508992.

The previous prime is 2400047647. The next prime is 2400047687. The reversal of 2400047680 is 867400042.

It can be written as a sum of positive squares in 4 ways, for example, as 235192896 + 2164854784 = 15336^2 + 46528^2 .

It is not an unprimeable number, because it can be changed into a prime (2400047687) 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 7 ways as a sum of consecutive naturals, for example, 2974 + ... + 69346.

It is an arithmetic number, because the mean of its divisors is an integer number (102960297).

Almost surely, 2^2400047680 is an apocalyptic number.

2400047680 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 2400047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882888316).

2400047680 is an abundant number, since it is smaller than the sum of its proper divisors (3365728952).

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

2400047680 is a wasteful number, since it uses less digits than its factorization.

2400047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66503 (or 66493 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 2400047680 is about 48990.2814852089. The cubic root of 2400047680 is about 1338.8747663731.

The spelling of 2400047680 in words is "two billion, four hundred million, forty-seven thousand, six hundred eighty".