2506495104 has 240 divisors, whose sum is σ = 7814769270. Its totient is φ = 797423616.

The previous prime is 2506495099. The next prime is 2506495153. The reversal of 2506495104 is 4015946052.

2506495104 is a `hidden beast` number, since 2 + 5 + 0 + 649 + 5 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1713960000 + 792535104 = 41400^2 + 28152^2 .

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 5484444 + ... + 5484900.

Almost surely, 2^2506495104 is an apocalyptic number.

2506495104 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 2506495104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907384635).

2506495104 is an abundant number, since it is smaller than the sum of its proper divisors (5308274166).

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

2506495104 is an equidigital number, since it uses as much as digits as its factorization.

2506495104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2506495104 is about 50064.9089083362. The cubic root of 2506495104 is about 1358.3831535325.

The spelling of 2506495104 in words is "two billion, five hundred six million, four hundred ninety-five thousand, one hundred four".