2394400782240 has 288 divisors, whose sum is σ = 8312233889232. Its totient is φ = 627480576000.

The previous prime is 2394400782233. The next prime is 2394400782269. The reversal of 2394400782240 is 422870044932.

It is a happy number.

2394400782240 is a `hidden beast` number, since 239 + 4 + 400 + 7 + 8 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 883772968464 + 1510627813776 = 940092^2 + 1229076^2 .

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 (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, 103727500 + ... + 103750580.

Almost surely, 2^{2394400782240} is an apocalyptic number.

2394400782240 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 2394400782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156116944616).

2394400782240 is an abundant number, since it is smaller than the sum of its proper divisors (5917833106992).

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

2394400782240 is a wasteful number, since it uses less digits than its factorization.

2394400782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24344 (or 24333 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 2394400782240 in words is "two trillion, three hundred ninety-four billion, four hundred million, seven hundred eighty-two thousand, two hundred forty".