2414101104 has 80 divisors (see below), whose sum is σ = 7027050240. Its totient is φ = 793356480.

The previous prime is 2414101103. The next prime is 2414101111. The reversal of 2414101104 is 4011014142.

2414101104 is a `hidden beast` number, since 241 + 410 + 1 + 10 + 4 = 666.

It is a super-3 number, since 3×2414101104³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414101103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8682 + ... + 70025.

It is an arithmetic number, because the mean of its divisors is an integer number (87838128).

Almost surely, 2^2414101104 is an apocalyptic number.

2414101104 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 2414101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513525120).

2414101104 is an abundant number, since it is smaller than the sum of its proper divisors (4612949136).

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

2414101104 is a wasteful number, since it uses less digits than its factorization.

2414101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78795 (or 78783 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2414101104 is about 49133.5028671883. The cubic root of 2414101104 is about 1341.4829324279.

Adding to 2414101104 its reverse (4011014142), we get a palindrome (6425115246).

The spelling of 2414101104 in words is "two billion, four hundred fourteen million, one hundred one thousand, one hundred four".