2551315320 has 192 divisors, whose sum is σ = 8648640000. Its totient is φ = 676418688.

The previous prime is 2551315313. The next prime is 2551315321. The reversal of 2551315320 is 235131552.

It is a happy number.

2551315320 is a `hidden beast` number, since 25 + 5 + 1 + 315 + 320 = 666.

2551315320 is digitally balanced in base 2 and base 4, because in such bases 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2551315321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1933621 + ... + 1934939.

It is an arithmetic number, because the mean of its divisors is an integer number (45045000).

Almost surely, 2^2551315320 is an apocalyptic number.

2551315320 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 2551315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4324320000).

2551315320 is an abundant number, since it is smaller than the sum of its proper divisors (6097324680).

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

2551315320 is a wasteful number, since it uses less digits than its factorization.

2551315320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2551315320 is about 50510.5466214730. The cubic root of 2551315320 is about 1366.4320678683.

Adding to 2551315320 its reverse (235131552), we get a palindrome (2786446872).

The spelling of 2551315320 in words is "two billion, five hundred fifty-one million, three hundred fifteen thousand, three hundred twenty".