2406378240 has 720 divisors, whose sum is σ = 10305439200. Its totient is φ = 531062784.

The previous prime is 2406378217. The next prime is 2406378241. The reversal of 2406378240 is 428736042.

2406378240 is a `hidden beast` number, since 2 + 40 + 6 + 378 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 2406378195 and 2406378204.

It is not an unprimeable number, because it can be changed into a prime (2406378241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82978546 + ... + 82978574.

It is an arithmetic number, because the mean of its divisors is an integer number (14313110).

Almost surely, 2^2406378240 is an apocalyptic number.

2406378240 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 2406378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152719600).

2406378240 is an abundant number, since it is smaller than the sum of its proper divisors (7899060960).

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

2406378240 is an frugal number, since it uses more digits than its factorization.

2406378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2406378240 is about 49054.8493015726. The cubic root of 2406378240 is about 1340.0509076969.

The spelling of 2406378240 in words is "two billion, four hundred six million, three hundred seventy-eight thousand, two hundred forty".