2314902240 has 960 divisors, whose sum is σ = 10538035200. Its totient is φ = 465813504.

The previous prime is 2314902217. The next prime is 2314902241. The reversal of 2314902240 is 422094132.

2314902240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314902241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29302521 + ... + 29302599.

It is an arithmetic number, because the mean of its divisors is an integer number (10977120).

Almost surely, 2^2314902240 is an apocalyptic number.

2314902240 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 2314902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269017600).

2314902240 is an abundant number, since it is smaller than the sum of its proper divisors (8223132960).

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

2314902240 is a wasteful number, since it uses less digits than its factorization.

2314902240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2314902240 is about 48113.4309730661. The cubic root of 2314902240 is about 1322.8508632236.

Adding to 2314902240 its reverse (422094132), we get a palindrome (2736996372).

The spelling of 2314902240 in words is "two billion, three hundred fourteen million, nine hundred two thousand, two hundred forty".