2414014220240 has 80 divisors (see below), whose sum is σ = 6414879302400. Its totient is φ = 827597675520.

The previous prime is 2414014220239. The next prime is 2414014220249. The reversal of 2414014220240 is 420224104142.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414014220249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7342580 + ... + 7664300.

It is an arithmetic number, because the mean of its divisors is an integer number (80185991280).

Almost surely, 2^{2414014220240} is an apocalyptic number.

2414014220240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414014220240 is an abundant number, since it is smaller than the sum of its proper divisors (4000865082160).

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

2414014220240 is a wasteful number, since it uses less digits than its factorization.

2414014220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335140 (or 335134 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 2414014220240 its reverse (420224104142), we get a palindrome (2834238324382).

The spelling of 2414014220240 in words is "two trillion, four hundred fourteen billion, fourteen million, two hundred twenty thousand, two hundred forty".