2414000120 has 32 divisors (see below), whose sum is σ = 6207429600. Its totient is φ = 827657088.

The previous prime is 2414000089. The next prime is 2414000123. The reversal of 2414000120 is 210004142.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2414000095 and 2414000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414000123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4310435 + ... + 4310994.

It is an arithmetic number, because the mean of its divisors is an integer number (193982175).

Almost surely, 2^2414000120 is an apocalyptic number.

2414000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414000120 is an abundant number, since it is smaller than the sum of its proper divisors (3793429480).

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

2414000120 is a wasteful number, since it uses less digits than its factorization.

2414000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8621447 (or 8621443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2414000120 is about 49132.4752073412. The cubic root of 2414000120 is about 1341.4642270250.

Adding to 2414000120 its reverse (210004142), we get a palindrome (2624004262).

The spelling of 2414000120 in words is "two billion, four hundred fourteen million, one hundred twenty", and thus it is an aban number.