2414120625 has 160 divisors (see below), whose sum is σ = 5182341120. Its totient is φ = 1087560000.

The previous prime is 2414120609. The next prime is 2414120627. The reversal of 2414120625 is 5260214142.

2414120625 is a `hidden beast` number, since 2 + 4 + 14 + 1 + 20 + 625 = 666.

It is not a de Polignac number, because 2414120625 - 2⁴ = 2414120609 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2414120627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12639280 + ... + 12639470.

It is an arithmetic number, because the mean of its divisors is an integer number (32389632).

Almost surely, 2^2414120625 is an apocalyptic number.

2414120625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2414120625 is an abundant number, since it is smaller than the sum of its proper divisors (2768220495).

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

2414120625 is a wasteful number, since it uses less digits than its factorization.

2414120625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 313 counting only the distinct ones).

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

The square root of 2414120625 is about 49133.7015194255. The cubic root of 2414120625 is about 1341.4865482690.

Adding to 2414120625 its reverse (5260214142), we get a palindrome (7674334767).

The spelling of 2414120625 in words is "two billion, four hundred fourteen million, one hundred twenty thousand, six hundred twenty-five".