2551424120 has 192 divisors, whose sum is σ = 7096636800. Its totient is φ = 820834560.

The previous prime is 2551424069. The next prime is 2551424123. The reversal of 2551424120 is 214241552.

It is a self number, because there is not a number n which added to its sum of digits gives 2551424120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551424123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4878179 + ... + 4878701.

It is an arithmetic number, because the mean of its divisors is an integer number (36961650).

Almost surely, 2^2551424120 is an apocalyptic number.

2551424120 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 2551424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548318400).

2551424120 is an abundant number, since it is smaller than the sum of its proper divisors (4545212680).

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

2551424120 is a wasteful number, since it uses less digits than its factorization.

2551424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 2551424120 is about 50511.6236127884. The cubic root of 2551424120 is about 1366.4514912738.

Adding to 2551424120 its reverse (214241552), we get a palindrome (2765665672).

The spelling of 2551424120 in words is "two billion, five hundred fifty-one million, four hundred twenty-four thousand, one hundred twenty".