5209356240 has 480 divisors, whose sum is σ = 20970907776. Its totient is φ = 1187758080.

The previous prime is 5209356233. The next prime is 5209356247. The reversal of 5209356240 is 426539025.

5209356240 is a `hidden beast` number, since 5 + 2 + 0 + 93 + 562 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5209356233) and next prime (5209356247).

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 = 5209356195 and 5209356204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5209356247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3634564 + ... + 3635996.

Almost surely, 2^5209356240 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 5209356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10485453888).

5209356240 is an abundant number, since it is smaller than the sum of its proper divisors (15761551536).

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

5209356240 is a wasteful number, since it uses less digits than its factorization.

5209356240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5209356240 is about 72175.8702060460. The cubic root of 5209356240 is about 1733.5166574676.

The spelling of 5209356240 in words is "five billion, two hundred nine million, three hundred fifty-six thousand, two hundred forty".