2535485040 has 480 divisors, whose sum is σ = 10027929600. Its totient is φ = 567705600.

The previous prime is 2535485021. The next prime is 2535485041. The reversal of 2535485040 is 405845352.

2535485040 is a `hidden beast` number, since 2 + 535 + 4 + 85 + 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 = 2535484986 and 2535485004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535485041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5646736 + ... + 5647184.

It is an arithmetic number, because the mean of its divisors is an integer number (20891520).

Almost surely, 2^2535485040 is an apocalyptic number.

2535485040 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 2535485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013964800).

2535485040 is an abundant number, since it is smaller than the sum of its proper divisors (7492444560).

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

2535485040 is a wasteful number, since it uses less digits than its factorization.

2535485040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

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

The square root of 2535485040 is about 50353.6000699056. The cubic root of 2535485040 is about 1363.6000782587.

The spelling of 2535485040 in words is "two billion, five hundred thirty-five million, four hundred eighty-five thousand, forty".