2551348320 has 192 divisors, whose sum is σ = 8344679616. Its totient is φ = 654704640.

The previous prime is 2551348313. The next prime is 2551348333. The reversal of 2551348320 is 238431552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1721980 + ... + 1723460.

It is an arithmetic number, because the mean of its divisors is an integer number (43461873).

Almost surely, 2^2551348320 is an apocalyptic number.

2551348320 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 2551348320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172339808).

2551348320 is an abundant number, since it is smaller than the sum of its proper divisors (5793331296).

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

2551348320 is a wasteful number, since it uses less digits than its factorization.

2551348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2551348320 is about 50510.8732848681. The cubic root of 2551348320 is about 1366.4379592169.

Adding to 2551348320 its reverse (238431552), we get a palindrome (2789779872).

The spelling of 2551348320 in words is "two billion, five hundred fifty-one million, three hundred forty-eight thousand, three hundred twenty".