2535287040 has 1008 divisors, whose sum is σ = 11259823680. Its totient is φ = 537477120.

The previous prime is 2535287023. The next prime is 2535287093. The reversal of 2535287040 is 407825352.

2535287040 is a `hidden beast` number, since 2 + 535 + 2 + 87 + 0 + 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 = 2535286986 and 2535287004.

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 133436151 + ... + 133436169.

It is an arithmetic number, because the mean of its divisors is an integer number (11170460).

Almost surely, 2^2535287040 is an apocalyptic number.

2535287040 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 2535287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5629911840).

2535287040 is an abundant number, since it is smaller than the sum of its proper divisors (8724536640).

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

2535287040 is a wasteful number, since it uses less digits than its factorization.

2535287040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2535287040 is about 50351.6339357523. The cubic root of 2535287040 is about 1363.5645821124.

The spelling of 2535287040 in words is "two billion, five hundred thirty-five million, two hundred eighty-seven thousand, forty".