2535458240 has 112 divisors (see below), whose sum is σ = 7047171072. Its totient is φ = 850768896.

The previous prime is 2535458227. The next prime is 2535458243. The reversal of 2535458240 is 428545352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 2535458194 and 2535458203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535458243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93239 + ... + 117321.

Almost surely, 2^2535458240 is an apocalyptic number.

2535458240 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 2535458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523585536).

2535458240 is an abundant number, since it is smaller than the sum of its proper divisors (4511712832).

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

2535458240 is a wasteful number, since it uses less digits than its factorization.

2535458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24154 (or 24144 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The square root of 2535458240 is about 50353.3339511894. Note that the first 3 decimals coincide. The cubic root of 2535458240 is about 1363.5952738380.

The spelling of 2535458240 in words is "two billion, five hundred thirty-five million, four hundred fifty-eight thousand, two hundred forty".