2540267520 has 192 divisors, whose sum is σ = 9288639360. Its totient is φ = 580583424.

The previous prime is 2540267467. The next prime is 2540267531. The reversal of 2540267520 is 257620452.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209134 + ... + 220946.

It is an arithmetic number, because the mean of its divisors is an integer number (48378330).

Almost surely, 2^2540267520 is an apocalyptic number.

2540267520 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 2540267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644319680).

2540267520 is an abundant number, since it is smaller than the sum of its proper divisors (6748371840).

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

2540267520 is a wasteful number, since it uses less digits than its factorization.

2540267520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11850 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2540267520 is about 50401.0666553794. The cubic root of 2540267520 is about 1364.4568892218.

Adding to 2540267520 its reverse (257620452), we get a palindrome (2797887972).

The spelling of 2540267520 in words is "two billion, five hundred forty million, two hundred sixty-seven thousand, five hundred twenty".