2414438320 has 80 divisors (see below), whose sum is σ = 6536635200. Its totient is φ = 812178432.

The previous prime is 2414438287. The next prime is 2414438321. The reversal of 2414438320 is 238344142.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2414438321) 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, 10995 + ... + 70354.

It is an arithmetic number, because the mean of its divisors is an integer number (81707940).

Almost surely, 2^2414438320 is an apocalyptic number.

2414438320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414438320 is an abundant number, since it is smaller than the sum of its proper divisors (4122196880).

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

2414438320 is a wasteful number, since it uses less digits than its factorization.

2414438320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81422 (or 81416 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 2414438320 is about 49136.9343773093. The cubic root of 2414438320 is about 1341.5453916246.

The spelling of 2414438320 in words is "two billion, four hundred fourteen million, four hundred thirty-eight thousand, three hundred twenty".