2414234000 has 40 divisors (see below), whose sum is σ = 5837622648. Its totient is φ = 965692800.

The previous prime is 2414233967. The next prime is 2414234023. The reversal of 2414234000 is 4324142.

It can be written as a sum of positive squares in 4 ways, for example, as 579653776 + 1834580224 = 24076^2 + 42832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601559 + ... + 605558.

Almost surely, 2^2414234000 is an apocalyptic number.

2414234000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414234000 is an abundant number, since it is smaller than the sum of its proper divisors (3423388648).

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

2414234000 is a wasteful number, since it uses less digits than its factorization.

2414234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207140 (or 1207124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2414234000 is about 49134.8552455383. The cubic root of 2414234000 is about 1341.5075481388.

Adding to 2414234000 its reverse (4324142), we get a palindrome (2418558142).

The spelling of 2414234000 in words is "two billion, four hundred fourteen million, two hundred thirty-four thousand".