2414412144 has 80 divisors (see below), whose sum is σ = 6969196800. Its totient is φ = 800282304.

The previous prime is 2414412107. The next prime is 2414412151. The reversal of 2414412144 is 4412144142.

It is a happy number.

2414412144 is a `hidden beast` number, since 2 + 4 + 1 + 441 + 214 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61717 + ... + 92939.

It is an arithmetic number, because the mean of its divisors is an integer number (87114960).

Almost surely, 2^2414412144 is an apocalyptic number.

2414412144 is a gapful number since it is divisible by the number (24) 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 2414412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484598400).

2414412144 is an abundant number, since it is smaller than the sum of its proper divisors (4554784656).

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

2414412144 is a wasteful number, since it uses less digits than its factorization.

2414412144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31419 (or 31407 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 2414412144 is about 49136.6680189042. The cubic root of 2414412144 is about 1341.5405435103.

Adding to 2414412144 its reverse (4412144142), we get a palindrome (6826556286).

The spelling of 2414412144 in words is "two billion, four hundred fourteen million, four hundred twelve thousand, one hundred forty-four".