2414032042240 has 576 divisors, whose sum is σ = 7455276573696. Its totient is φ = 727921852416.

The previous prime is 2414032042223. The next prime is 2414032042267. The reversal of 2414032042240 is 422402304142.

It is a super-2 number, since 2×2414032042240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2414032042199 and 2414032042208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742092454 + ... + 742095706.

It is an arithmetic number, because the mean of its divisors is an integer number (12943188496).

Almost surely, 2^{2414032042240} is an apocalyptic number.

2414032042240 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 2414032042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727638286848).

2414032042240 is an abundant number, since it is smaller than the sum of its proper divisors (5041244531456).

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

2414032042240 is a wasteful number, since it uses less digits than its factorization.

2414032042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2414032042240 its reverse (422402304142), we get a palindrome (2836434346382).

The spelling of 2414032042240 in words is "two trillion, four hundred fourteen billion, thirty-two million, forty-two thousand, two hundred forty".