2506623732 has 144 divisors (see below), whose sum is σ = 6760353600. Its totient is φ = 811814400.

The previous prime is 2506623661. The next prime is 2506623733. The reversal of 2506623732 is 2373266052.

It is a happy number.

2506623732 is a `hidden beast` number, since 25 + 0 + 6 + 623 + 7 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506623733) 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, 6250732 + ... + 6251132.

It is an arithmetic number, because the mean of its divisors is an integer number (46946900).

Almost surely, 2^2506623732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506623732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380176800).

2506623732 is an abundant number, since it is smaller than the sum of its proper divisors (4253729868).

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

2506623732 is a wasteful number, since it uses less digits than its factorization.

2506623732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2506623732 is about 50066.1935042000. The cubic root of 2506623732 is about 1358.4063895803.

Adding to 2506623732 its reverse (2373266052), we get a palindrome (4879889784).

The spelling of 2506623732 in words is "two billion, five hundred six million, six hundred twenty-three thousand, seven hundred thirty-two".