2314459840 has 448 divisors, whose sum is σ = 7373721600. Its totient is φ = 670924800.

The previous prime is 2314459837. The next prime is 2314459841. The reversal of 2314459840 is 489544132.

2314459840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2314459793 and 2314459802.

It is not an unprimeable number, because it can be changed into a prime (2314459841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29296921 + ... + 29296999.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 2^2314459840 is an apocalyptic number.

2314459840 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 2314459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

2314459840 is an abundant number, since it is smaller than the sum of its proper divisors (5059261760).

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

2314459840 is a wasteful number, since it uses less digits than its factorization.

2314459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 2314459840 is about 48108.8332845435. The cubic root of 2314459840 is about 1322.7665880295.

The spelling of 2314459840 in words is "two billion, three hundred fourteen million, four hundred fifty-nine thousand, eight hundred forty".