2324679840 has 288 divisors, whose sum is σ = 9117553536. Its totient is φ = 528353280.

The previous prime is 2324679793. The next prime is 2324679857. The reversal of 2324679840 is 489764232.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2126334 + ... + 2127426.

It is an arithmetic number, because the mean of its divisors is an integer number (31658172).

Almost surely, 2^2324679840 is an apocalyptic number.

2324679840 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 2324679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558776768).

2324679840 is an abundant number, since it is smaller than the sum of its proper divisors (6792873696).

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

2324679840 is a wasteful number, since it uses less digits than its factorization.

2324679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2324679840 is about 48214.9337861207. The cubic root of 2324679840 is about 1324.7107169579.

The spelling of 2324679840 in words is "two billion, three hundred twenty-four million, six hundred seventy-nine thousand, eight hundred forty".