2340402240240 has 480 divisors, whose sum is σ = 8126723284992. Its totient is φ = 603313920000.

The previous prime is 2340402240233. The next prime is 2340402240257. The reversal of 2340402240240 is 420422040432.

2340402240240 is a `hidden beast` number, since 2 + 340 + 40 + 2 + 2 + 40 + 240 = 666.

It is a super-2 number, since 2×2340402240240² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2033363665 + ... + 2033364815.

Almost surely, 2^{2340402240240} is an apocalyptic number.

2340402240240 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 2340402240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063361642496).

2340402240240 is an abundant number, since it is smaller than the sum of its proper divisors (5786321044752).

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

2340402240240 is a wasteful number, since it uses less digits than its factorization.

2340402240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 2340402240240 its reverse (420422040432), we get a palindrome (2760824280672).

The spelling of 2340402240240 in words is "two trillion, three hundred forty billion, four hundred two million, two hundred forty thousand, two hundred forty".