2014253340 has 192 divisors, whose sum is σ = 6348948480. Its totient is φ = 472975360.

The previous prime is 2014253321. The next prime is 2014253341. The reversal of 2014253340 is 433524102.

It is a self number, because there is not a number n which added to its sum of digits gives 2014253340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014253341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3112897 + ... + 3113543.

It is an arithmetic number, because the mean of its divisors is an integer number (33067440).

Almost surely, 2^2014253340 is an apocalyptic number.

2014253340 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 2014253340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174474240).

2014253340 is an abundant number, since it is smaller than the sum of its proper divisors (4334695140).

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

2014253340 is a wasteful number, since it uses less digits than its factorization.

2014253340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2014253340 is about 44880.4338214327. The cubic root of 2014253340 is about 1262.9069816880.

Adding to 2014253340 its reverse (433524102), we get a palindrome (2447777442).

The spelling of 2014253340 in words is "two billion, fourteen million, two hundred fifty-three thousand, three hundred forty".