2464266240 has 240 divisors, whose sum is σ = 8835666840. Its totient is φ = 656916480.

The previous prime is 2464266239. The next prime is 2464266241. The reversal of 2464266240 is 426624642.

2464266240 is a `hidden beast` number, since 2 + 4 + 6 + 4 + 26 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2464266239) and next prime (2464266241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2464266195 and 2464266204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464266241) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 827955 + ... + 830925.

Almost surely, 2^2464266240 is an apocalyptic number.

2464266240 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 2464266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4417833420).

2464266240 is an abundant number, since it is smaller than the sum of its proper divisors (6371400600).

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

2464266240 is an equidigital number, since it uses as much as digits as its factorization.

2464266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2464266240 is about 49641.3762903488. The cubic root of 2464266240 is about 1350.7113288314.

The spelling of 2464266240 in words is "two billion, four hundred sixty-four million, two hundred sixty-six thousand, two hundred forty".