2506735854 has 96 divisors (see below), whose sum is σ = 6582401280. Its totient is φ = 673474176.

The previous prime is 2506735853. The next prime is 2506735961. The reversal of 2506735854 is 4585376052.

2506735854 is a `hidden beast` number, since 2 + 5 + 0 + 67 + 3 + 585 + 4 = 666.

2506735854 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506735853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324157 + ... + 331799.

It is an arithmetic number, because the mean of its divisors is an integer number (68566680).

Almost surely, 2^2506735854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506735854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291200640).

2506735854 is an abundant number, since it is smaller than the sum of its proper divisors (4075665426).

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

2506735854 is a wasteful number, since it uses less digits than its factorization.

2506735854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 7811 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 2506735854 is about 50067.3132292916. The cubic root of 2506735854 is about 1358.4266432477.

The spelling of 2506735854 in words is "two billion, five hundred six million, seven hundred thirty-five thousand, eight hundred fifty-four".