5602410000 has 300 divisors, whose sum is σ = 21377344560. Its totient is φ = 1357920000.

The previous prime is 5602409987. The next prime is 5602410001. The reversal of 5602410000 is 142065.

It is a happy number.

5602410000 is a `hidden beast` number, since 560 + 2 + 4 + 100 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5602410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 987171 + ... + 992829.

Almost surely, 2^5602410000 is an apocalyptic number.

5602410000 is a gapful number since it is divisible by the number (50) 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 5602410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10688672280).

5602410000 is an abundant number, since it is smaller than the sum of its proper divisors (15774934560).

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

5602410000 is a wasteful number, since it uses less digits than its factorization.

5602410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704 (or 5680 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5602410000 is about 74849.2484932214. The cubic root of 5602410000 is about 1776.0627108365.

Adding to 5602410000 its reverse (142065), we get a palindrome (5602552065).

The spelling of 5602410000 in words is "five billion, six hundred two million, four hundred ten thousand".