2451314320 has 320 divisors, whose sum is σ = 7694507520. Its totient is φ = 703954944.

The previous prime is 2451314297. The next prime is 2451314321. The reversal of 2451314320 is 234131542.

It is not an unprimeable number, because it can be changed into a prime (2451314321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3588699 + ... + 3589381.

It is an arithmetic number, because the mean of its divisors is an integer number (24045336).

Almost surely, 2^2451314320 is an apocalyptic number.

2451314320 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 2451314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3847253760).

2451314320 is an abundant number, since it is smaller than the sum of its proper divisors (5243193200).

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

2451314320 is a wasteful number, since it uses less digits than its factorization.

2451314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2451314320 is about 49510.7495398727. The cubic root of 2451314320 is about 1348.3407727070.

Adding to 2451314320 its reverse (234131542), we get a palindrome (2685445862).

The spelling of 2451314320 in words is "two billion, four hundred fifty-one million, three hundred fourteen thousand, three hundred twenty".