2535540480 has 648 divisors, whose sum is σ = 10305365616. Its totient is φ = 573112320.

The previous prime is 2535540479. The next prime is 2535540487. The reversal of 2535540480 is 840455352.

2535540480 is a `hidden beast` number, since 2 + 5 + 35 + 540 + 4 + 80 = 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 (2535540487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23696587 + ... + 23696693.

It is an arithmetic number, because the mean of its divisors is an integer number (15903342).

Almost surely, 2^2535540480 is an apocalyptic number.

2535540480 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 2535540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152682808).

2535540480 is an abundant number, since it is smaller than the sum of its proper divisors (7769825136).

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

2535540480 is a wasteful number, since it uses less digits than its factorization.

2535540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 2535540480 is about 50354.1505737114. The cubic root of 2535540480 is about 1363.6100168485.

The spelling of 2535540480 in words is "two billion, five hundred thirty-five million, five hundred forty thousand, four hundred eighty".