2504144106 has 64 divisors (see below), whose sum is σ = 5726557440. Its totient is φ = 810763200.

The previous prime is 2504144101. The next prime is 2504144107. The reversal of 2504144106 is 6014414052.

2504144106 is a `hidden beast` number, since 2 + 504 + 144 + 10 + 6 = 666.

It is a super-2 number, since 2×2504144106² = 12541475407229078472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2504144106.

It is not an unprimeable number, because it can be changed into a prime (2504144101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284731 + ... + 293393.

It is an arithmetic number, because the mean of its divisors is an integer number (89477460).

Almost surely, 2^2504144106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2504144106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863278720).

2504144106 is an abundant number, since it is smaller than the sum of its proper divisors (3222413334).

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

2504144106 is a wasteful number, since it uses less digits than its factorization.

2504144106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8828 (or 8822 counting only the distinct ones).

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

The square root of 2504144106 is about 50041.4239006046. The cubic root of 2504144106 is about 1357.9583165997.

Adding to 2504144106 its reverse (6014414052), we get a palindrome (8518558158).

The spelling of 2504144106 in words is "two billion, five hundred four million, one hundred forty-four thousand, one hundred six".