2506640580 has 120 divisors (see below), whose sum is σ = 7933591512. Its totient is φ = 662473728.

The previous prime is 2506640573. The next prime is 2506640597. The reversal of 2506640580 is 850466052.

2506640580 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 640 + 5 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 329858244 + 2176782336 = 18162^2 + 46656^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 176214 + ... + 189906.

Almost surely, 2^2506640580 is an apocalyptic number.

2506640580 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 2506640580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966795756).

2506640580 is an abundant number, since it is smaller than the sum of its proper divisors (5426950932).

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

2506640580 is a wasteful number, since it uses less digits than its factorization.

2506640580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13827 (or 13816 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2506640580 is about 50066.3617611665. The cubic root of 2506640580 is about 1358.4094330339.

The spelling of 2506640580 in words is "two billion, five hundred six million, six hundred forty thousand, five hundred eighty".