2553210234 has 224 divisors, whose sum is σ = 6459367680. Its totient is φ = 753307776.

The previous prime is 2553210221. The next prime is 2553210239. The reversal of 2553210234 is 4320123552.

It is a happy number.

2553210234 is a `hidden beast` number, since 2 + 553 + 2 + 102 + 3 + 4 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2553210198 and 2553210207.

It is not an unprimeable number, because it can be changed into a prime (2553210239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 48173752 + ... + 48173804.

Almost surely, 2^2553210234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553210234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229683840).

2553210234 is an abundant number, since it is smaller than the sum of its proper divisors (3906157446).

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

2553210234 is a wasteful number, since it uses less digits than its factorization.

2553210234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2553210234 is about 50529.3007471902. The cubic root of 2553210234 is about 1366.7702764863.

Adding to 2553210234 its reverse (4320123552), we get a palindrome (6873333786).

The spelling of 2553210234 in words is "two billion, five hundred fifty-three million, two hundred ten thousand, two hundred thirty-four".