2506865760 has 576 divisors, whose sum is σ = 10373336064. Its totient is φ = 559872000.

The previous prime is 2506865741. The next prime is 2506865761. The reversal of 2506865760 is 675686052.

2506865760 is a `hidden beast` number, since 2 + 506 + 86 + 5 + 7 + 60 = 666.

2506865760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506865761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16601685 + ... + 16601835.

It is an arithmetic number, because the mean of its divisors is an integer number (18009264).

Almost surely, 2^2506865760 is an apocalyptic number.

2506865760 is a gapful number since it is divisible by the number (20) 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 2506865760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186668032).

2506865760 is an abundant number, since it is smaller than the sum of its proper divisors (7866470304).

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

2506865760 is a wasteful number, since it uses less digits than its factorization.

2506865760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2506865760 is about 50068.6105259573. The cubic root of 2506865760 is about 1358.4501086536.

The spelling of 2506865760 in words is "two billion, five hundred six million, eight hundred sixty-five thousand, seven hundred sixty".