2459040480 has 288 divisors, whose sum is σ = 9569798784. Its totient is φ = 569622528.

The previous prime is 2459040473. The next prime is 2459040481. The reversal of 2459040480 is 840409542.

2459040480 is a `hidden beast` number, since 24 + 590 + 4 + 0 + 48 + 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 (2459040481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314377 + ... + 322103.

It is an arithmetic number, because the mean of its divisors is an integer number (33228468).

Almost surely, 2^2459040480 is an apocalyptic number.

2459040480 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 2459040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4784899392).

2459040480 is an abundant number, since it is smaller than the sum of its proper divisors (7110758304).

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

2459040480 is a wasteful number, since it uses less digits than its factorization.

2459040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2459040480 is about 49588.7132319442. The cubic root of 2459040480 is about 1349.7558735517.

The spelling of 2459040480 in words is "two billion, four hundred fifty-nine million, forty thousand, four hundred eighty".