5349810240 has 784 divisors, whose sum is σ = 21587886720. Its totient is φ = 1254113280.

The previous prime is 5349810233. The next prime is 5349810313. The reversal of 5349810240 is 420189435.

5349810240 is a `hidden beast` number, since 534 + 9 + 81 + 0 + 2 + 40 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5349810195 and 5349810204.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75349405 + ... + 75349475.

Almost surely, 2^5349810240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5349810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10793943360).

5349810240 is an abundant number, since it is smaller than the sum of its proper divisors (16238076480).

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

5349810240 is a wasteful number, since it uses less digits than its factorization.

5349810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5349810240 is about 73142.3970074812. The cubic root of 5349810240 is about 1748.9583177519.

Adding to 5349810240 its reverse (420189435), we get a palindrome (5769999675).

The spelling of 5349810240 in words is "five billion, three hundred forty-nine million, eight hundred ten thousand, two hundred forty".