2534410000 has 100 divisors (see below), whose sum is σ = 6459494800. Its totient is φ = 960336000.

The previous prime is 2534409973. The next prime is 2534410007. The reversal of 2534410000 is 144352.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2534410000.

It is not an unprimeable number, because it can be changed into a prime (2534410007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183331 + ... + 196669.

It is an arithmetic number, because the mean of its divisors is an integer number (64594948).

Almost surely, 2^2534410000 is an apocalyptic number.

2534410000 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 2534410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229747400).

2534410000 is an abundant number, since it is smaller than the sum of its proper divisors (3925084800).

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

2534410000 is a wasteful number, since it uses less digits than its factorization.

2534410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13386 (or 13365 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2534410000 is about 50342.9240310890. The cubic root of 2534410000 is about 1363.4073298843.

Adding to 2534410000 its reverse (144352), we get a palindrome (2534554352).

It can be divided in two parts, 25344 and 10000, that added together give a square (35344 = 188²).

The spelling of 2534410000 in words is "two billion, five hundred thirty-four million, four hundred ten thousand".