2506404096 has 243 divisors, whose sum is σ = 8463228501. Its totient is φ = 711309312.

The previous prime is 2506404091. The next prime is 2506404101. The reversal of 2506404096 is 6904046052.

The square root of 2506404096 is 50064.

It is a perfect power (a square), and thus also a powerful number.

2506404096 is a `hidden beast` number, since 2 + 5 + 0 + 640 + 4 + 0 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2506404091) and next prime (2506404101).

It can be written as a sum of positive squares in only one way, i.e., 293642496 + 2212761600 = 17136^2 + 47040^2 .

It is a super-2 number, since 2×2506404096² = 12564122984891154432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2506404096.

It is not an unprimeable number, because it can be changed into a prime (2506404091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16821430 + ... + 16821578.

Almost surely, 2^2506404096 is an apocalyptic number.

2506404096 is the 50064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506404096

2506404096 is an abundant number, since it is smaller than the sum of its proper divisors (5956824405).

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

2506404096 is an equidigital number, since it uses as much as digits as its factorization.

2506404096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 2506404096 is about 1358.3667128820.

Multiplying 2506404096 by its sum of digits (36), we get a square (90230547456 = 300384²).

2506404096 divided by its sum of digits (36) gives a square (69622336 = 8344²).

The spelling of 2506404096 in words is "two billion, five hundred six million, four hundred four thousand, ninety-six".