2459840320 has 224 divisors, whose sum is σ = 7293254400. Its totient is φ = 771047424.

The previous prime is 2459840287. The next prime is 2459840329. The reversal of 2459840320 is 230489542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 2459840320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2459840329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1233244 + ... + 1235236.

Almost surely, 2^2459840320 is an apocalyptic number.

2459840320 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 2459840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646627200).

2459840320 is an abundant number, since it is smaller than the sum of its proper divisors (4833414080).

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

2459840320 is a wasteful number, since it uses less digits than its factorization.

2459840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 2459840320 is about 49596.7773146603. Note that the first 3 decimals coincide. The cubic root of 2459840320 is about 1349.9022005055.

The spelling of 2459840320 in words is "two billion, four hundred fifty-nine million, eight hundred forty thousand, three hundred twenty".