5145690240 has 448 divisors, whose sum is σ = 18963768600. Its totient is φ = 1333739520.

The previous prime is 5145690239. The next prime is 5145690247. The reversal of 5145690240 is 420965415.

5145690240 is a `hidden beast` number, since 51 + 4 + 569 + 0 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1461685824 + 3684004416 = 38232^2 + 60696^2 .

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 = 5145690195 and 5145690204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5145690247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19128826 + ... + 19129094.

Almost surely, 2^5145690240 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 5145690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9481884300).

5145690240 is an abundant number, since it is smaller than the sum of its proper divisors (13818078360).

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

5145690240 is an equidigital number, since it uses as much as digits as its factorization.

5145690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5145690240 is about 71733.4666665428. The cubic root of 5145690240 is about 1726.4256494056.

The spelling of 5145690240 in words is "five billion, one hundred forty-five million, six hundred ninety thousand, two hundred forty".