2508759540 has 240 divisors, whose sum is σ = 9048074112. Its totient is φ = 570011904.

The previous prime is 2508759527. The next prime is 2508759541. The reversal of 2508759540 is 459578052.

2508759540 is a `hidden beast` number, since 2 + 50 + 8 + 7 + 59 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2508759541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2233419 + ... + 2234541.

Almost surely, 2^2508759540 is an apocalyptic number.

2508759540 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 2508759540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524037056).

2508759540 is an abundant number, since it is smaller than the sum of its proper divisors (6539314572).

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

2508759540 is a wasteful number, since it uses less digits than its factorization.

2508759540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 2508759540 is about 50087.5188045884. The cubic root of 2508759540 is about 1358.7920971964.

The spelling of 2508759540 in words is "two billion, five hundred eight million, seven hundred fifty-nine thousand, five hundred forty".