2506231620 has 144 divisors (see below), whose sum is σ = 7973325360. Its totient is φ = 636346368.

The previous prime is 2506231603. The next prime is 2506231669. The reversal of 2506231620 is 261326052.

2506231620 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 2 + 31 + 620 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 245799684 + 2260431936 = 15678^2 + 47544^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 377772 + ... + 384348.

It is an arithmetic number, because the mean of its divisors is an integer number (55370315).

Almost surely, 2^2506231620 is an apocalyptic number.

2506231620 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 2506231620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986662680).

2506231620 is an abundant number, since it is smaller than the sum of its proper divisors (5467093740).

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

2506231620 is a wasteful number, since it uses less digits than its factorization.

2506231620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6694 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2506231620 is about 50062.2774152355. The cubic root of 2506231620 is about 1358.3355538959.

Adding to 2506231620 its reverse (261326052), we get a palindrome (2767557672).

The spelling of 2506231620 in words is "two billion, five hundred six million, two hundred thirty-one thousand, six hundred twenty".