5013822240 has 480 divisors, whose sum is σ = 21418556544. Its totient is φ = 1078272000.

The previous prime is 5013822197. The next prime is 5013822263. The reversal of 5013822240 is 422283105.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1540615 + ... + 1543865.

Almost surely, 2^5013822240 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 5013822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709278272).

5013822240 is an abundant number, since it is smaller than the sum of its proper divisors (16404734304).

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

5013822240 is a wasteful number, since it uses less digits than its factorization.

5013822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5013822240 is about 70808.3486603098. The cubic root of 5013822240 is about 1711.5502101055.

The spelling of 5013822240 in words is "five billion, thirteen million, eight hundred twenty-two thousand, two hundred forty".