2314729440 has 192 divisors, whose sum is σ = 8128512000. Its totient is φ = 615209472.

The previous prime is 2314729429. The next prime is 2314729441. The reversal of 2314729440 is 449274132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2314729395 and 2314729404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314729441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1653861 + ... + 1655259.

It is an arithmetic number, because the mean of its divisors is an integer number (42336000).

Almost surely, 2^2314729440 is an apocalyptic number.

2314729440 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 2314729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256000).

2314729440 is an abundant number, since it is smaller than the sum of its proper divisors (5813782560).

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

2314729440 is a wasteful number, since it uses less digits than its factorization.

2314729440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2314729440 is about 48111.6351831862. The cubic root of 2314729440 is about 1322.8179468851.

The spelling of 2314729440 in words is "two billion, three hundred fourteen million, seven hundred twenty-nine thousand, four hundred forty".