2566488540 has 192 divisors, whose sum is σ = 9168445440. Its totient is φ = 520853760.

The previous prime is 2566488527. The next prime is 2566488553. The reversal of 2566488540 is 458846652.

2566488540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2566488527) and next prime (2566488553).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2566488540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192201 + ... + 205119.

It is an arithmetic number, because the mean of its divisors is an integer number (47752320).

Almost surely, 2^2566488540 is an apocalyptic number.

2566488540 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 2566488540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584222720).

2566488540 is an abundant number, since it is smaller than the sum of its proper divisors (6601956900).

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

2566488540 is a wasteful number, since it uses less digits than its factorization.

2566488540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12992 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The square root of 2566488540 is about 50660.5225002664. The cubic root of 2566488540 is about 1369.1355371907.

The spelling of 2566488540 in words is "two billion, five hundred sixty-six million, four hundred eighty-eight thousand, five hundred forty".