2506260240 has 240 divisors, whose sum is σ = 9313439616. Its totient is φ = 598886400.

The previous prime is 2506260209. The next prime is 2506260247. The reversal of 2506260240 is 420626052.

2506260240 is a `hidden beast` number, since 2 + 50 + 6 + 2 + 602 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2506260247) 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, 560092 + ... + 564548.

Almost surely, 2^2506260240 is an apocalyptic number.

2506260240 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 2506260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656719808).

2506260240 is an abundant number, since it is smaller than the sum of its proper divisors (6807179376).

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

2506260240 is a wasteful number, since it uses less digits than its factorization.

2506260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2506260240 is about 50062.5632583870. The cubic root of 2506260240 is about 1358.3407243964.

Adding to 2506260240 its reverse (420626052), we get a palindrome (2926886292).

The spelling of 2506260240 in words is "two billion, five hundred six million, two hundred sixty thousand, two hundred forty".