2401584640 has 320 divisors, whose sum is σ = 7245786240. Its totient is φ = 747601920.

The previous prime is 2401584637. The next prime is 2401584671. The reversal of 2401584640 is 464851042.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 2401584596 and 2401584605.

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 31 ways as a sum of consecutive naturals, for example, 39370210 + ... + 39370270.

It is an arithmetic number, because the mean of its divisors is an integer number (22643082).

Almost surely, 2^2401584640 is an apocalyptic number.

2401584640 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 2401584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622893120).

2401584640 is an abundant number, since it is smaller than the sum of its proper divisors (4844201600).

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

2401584640 is an frugal number, since it uses more digits than its factorization.

2401584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 2401584640 is about 49005.9653511692. The cubic root of 2401584640 is about 1339.1605048430.

The spelling of 2401584640 in words is "two billion, four hundred one million, five hundred eighty-four thousand, six hundred forty".