2514320448 has 112 divisors (see below), whose sum is σ = 6815230464. Its totient is φ = 817827840.

The previous prime is 2514320443. The next prime is 2514320461. The reversal of 2514320448 is 8440234152.

2514320448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 50143²-1.

It is not an unprimeable number, because it can be changed into a prime (2514320443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603761 + ... + 1605327.

It is an arithmetic number, because the mean of its divisors is an integer number (60850272).

Almost surely, 2^2514320448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2514320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407615232).

2514320448 is an abundant number, since it is smaller than the sum of its proper divisors (4300910016).

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

2514320448 is a wasteful number, since it uses less digits than its factorization.

2514320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2514320448 is about 50142.9999900285. Note that the first 5 decimals coincide. The cubic root of 2514320448 is about 1359.7953209853.

The spelling of 2514320448 in words is "two billion, five hundred fourteen million, three hundred twenty thousand, four hundred forty-eight".