2535528240 has 480 divisors, whose sum is σ = 10441581696. Its totient is φ = 538214400.

The previous prime is 2535528227. The next prime is 2535528269. The reversal of 2535528240 is 428255352.

It is a happy number.

2535528240 is a `hidden beast` number, since 2 + 535 + 5 + 2 + 82 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2535528195 and 2535528204.

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 95 ways as a sum of consecutive naturals, for example, 8653534 + ... + 8653826.

Almost surely, 2^2535528240 is an apocalyptic number.

2535528240 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 2535528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5220790848).

2535528240 is an abundant number, since it is smaller than the sum of its proper divisors (7906053456).

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

2535528240 is a wasteful number, since it uses less digits than its factorization.

2535528240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 428 counting only the distinct ones).

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

The square root of 2535528240 is about 50354.0290344278. The cubic root of 2535528240 is about 1363.6078226269.

The spelling of 2535528240 in words is "two billion, five hundred thirty-five million, five hundred twenty-eight thousand, two hundred forty".