515645040240 has 240 divisors, whose sum is σ = 1895819552640. Its totient is φ = 124562603520.

The previous prime is 515645040223. The next prime is 515645040263. The reversal of 515645040240 is 42040546515.

515645040240 is a `hidden beast` number, since 5 + 1 + 5 + 645 + 0 + 4 + 0 + 2 + 4 + 0 = 666.

515645040240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×515645040240² (a number of 24 digits) contains 22 as substring.

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 = 515645040195 and 515645040204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2126331 + ... + 2356389.

It is an arithmetic number, because the mean of its divisors is an integer number (7899248136).

Almost surely, 2^515645040240 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 515645040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947909776320).

515645040240 is an abundant number, since it is smaller than the sum of its proper divisors (1380174512400).

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

515645040240 is a wasteful number, since it uses less digits than its factorization.

515645040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230372 (or 230363 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 515645040240 its reverse (42040546515), we get a palindrome (557685586755).

The spelling of 515645040240 in words is "five hundred fifteen billion, six hundred forty-five million, forty thousand, two hundred forty".