51302244240 has 400 divisors, whose sum is σ = 192484815600. Its totient is φ = 12588908544.

The previous prime is 51302244229. The next prime is 51302244247. The reversal of 51302244240 is 4244220315.

51302244240 is a `hidden beast` number, since 5 + 13 + 0 + 224 + 424 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1548265104 + 49753979136 = 39348^2 + 223056^2 .

It is a super-2 number, since 2×51302244240² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51302244247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34453416 + ... + 34454904.

It is an arithmetic number, because the mean of its divisors is an integer number (481212039).

Almost surely, 2^51302244240 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 51302244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96242407800).

51302244240 is an abundant number, since it is smaller than the sum of its proper divisors (141182571360).

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

51302244240 is a wasteful number, since it uses less digits than its factorization.

51302244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 51302244240 its reverse (4244220315), we get a palindrome (55546464555).

The spelling of 51302244240 in words is "fifty-one billion, three hundred two million, two hundred forty-four thousand, two hundred forty".