2535434000 has 120 divisors (see below), whose sum is σ = 6739323864. Its totient is φ = 921888000.

The previous prime is 2535433939. The next prime is 2535434017. The reversal of 2535434000 is 4345352.

2535434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14992384 + 2520441616 = 3872^2 + 50204^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236762 + ... + 247238.

Almost surely, 2^2535434000 is an apocalyptic number.

2535434000 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 2535434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369661932).

2535434000 is an abundant number, since it is smaller than the sum of its proper divisors (4203889864).

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

2535434000 is a wasteful number, since it uses less digits than its factorization.

2535434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10495 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 2535434000 is about 50353.0932515570. The cubic root of 2535434000 is about 1363.5909283178.

Adding to 2535434000 its reverse (4345352), we get a palindrome (2539779352).

The spelling of 2535434000 in words is "two billion, five hundred thirty-five million, four hundred thirty-four thousand".