2506431240 has 96 divisors (see below), whose sum is σ = 8180265600. Its totient is φ = 665562240.

The previous prime is 2506431223. The next prime is 2506431241. The reversal of 2506431240 is 421346052.

2506431240 is a `hidden beast` number, since 2 + 5 + 0 + 643 + 12 + 4 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (2506431241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71475 + ... + 100605.

It is an arithmetic number, because the mean of its divisors is an integer number (85211100).

Almost surely, 2^2506431240 is an apocalyptic number.

2506431240 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 2506431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090132800).

2506431240 is an abundant number, since it is smaller than the sum of its proper divisors (5673834360).

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

2506431240 is a wasteful number, since it uses less digits than its factorization.

2506431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29387 (or 29380 counting only the distinct ones).

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

The square root of 2506431240 is about 50064.2710922670. The cubic root of 2506431240 is about 1358.3716165037.

Adding to 2506431240 its reverse (421346052), we get a palindrome (2927777292).

The spelling of 2506431240 in words is "two billion, five hundred six million, four hundred thirty-one thousand, two hundred forty".