13534002240 has 448 divisors, whose sum is σ = 49481183232. Its totient is φ = 3102105600.

The previous prime is 13534002197. The next prime is 13534002299. The reversal of 13534002240 is 4220043531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13534002240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25016370 + ... + 25016910.

Almost surely, 2^13534002240 is an apocalyptic number.

13534002240 is a gapful number since it is divisible by the number (10) 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 13534002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24740591616).

13534002240 is an abundant number, since it is smaller than the sum of its proper divisors (35947180992).

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

13534002240 is a wasteful number, since it uses less digits than its factorization.

13534002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 13534002240 its reverse (4220043531), we get a palindrome (17754045771).

The spelling of 13534002240 in words is "thirteen billion, five hundred thirty-four million, two thousand, two hundred forty".