2569630140 has 288 divisors, whose sum is σ = 9763213824. Its totient is φ = 531463680.

The previous prime is 2569630103. The next prime is 2569630157. The reversal of 2569630140 is 410369652.

It is a happy number.

2569630140 is a `hidden beast` number, since 2 + 5 + 6 + 9 + 630 + 14 + 0 = 666.

2569630140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2569630095 and 2569630104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5502187 + ... + 5502653.

It is an arithmetic number, because the mean of its divisors is an integer number (33900048).

Almost surely, 2^2569630140 is an apocalyptic number.

2569630140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2569630140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881606912).

2569630140 is an abundant number, since it is smaller than the sum of its proper divisors (7193583684).

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

2569630140 is a wasteful number, since it uses less digits than its factorization.

2569630140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2569630140 is about 50691.5194090688. The cubic root of 2569630140 is about 1369.6939554714.

Adding to 2569630140 its reverse (410369652), we get a palindrome (2979999792).

The spelling of 2569630140 in words is "two billion, five hundred sixty-nine million, six hundred thirty thousand, one hundred forty".