2506080078 has 48 divisors (see below), whose sum is σ = 5620692480. Its totient is φ = 806355648.

The previous prime is 2506080053. The next prime is 2506080079. The reversal of 2506080078 is 8700806052.

2506080078 is a `hidden beast` number, since 2 + 506 + 0 + 80 + 0 + 78 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506080079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69768 + ... + 99396.

It is an arithmetic number, because the mean of its divisors is an integer number (117097760).

Almost surely, 2^2506080078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506080078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810346240).

2506080078 is an abundant number, since it is smaller than the sum of its proper divisors (3114612402).

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

2506080078 is a wasteful number, since it uses less digits than its factorization.

2506080078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29801 (or 29798 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2506080078 is about 50060.7638575362. The cubic root of 2506080078 is about 1358.3081756022.

The spelling of 2506080078 in words is "two billion, five hundred six million, eighty thousand, seventy-eight".