2514412300140 has 144 divisors (see below), whose sum is σ = 8215343136000. Its totient is φ = 618811974144.

The previous prime is 2514412300129. The next prime is 2514412300159. The reversal of 2514412300140 is 410032144152.

2514412300140 is a `hidden beast` number, since 2 + 51 + 441 + 2 + 30 + 0 + 140 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12251086 + ... + 12454634.

It is an arithmetic number, because the mean of its divisors is an integer number (57050994000).

Almost surely, 2^{2514412300140} is an apocalyptic number.

2514412300140 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 2514412300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107671568000).

2514412300140 is an abundant number, since it is smaller than the sum of its proper divisors (5700930835860).

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

2514412300140 is a wasteful number, since it uses less digits than its factorization.

2514412300140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208856 (or 208851 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2514412300140 its reverse (410032144152), we get a palindrome (2924444444292).

The spelling of 2514412300140 in words is "two trillion, five hundred fourteen billion, four hundred twelve million, three hundred thousand, one hundred forty".