2457648312 has 96 divisors (see below), whose sum is σ = 7157704320. Its totient is φ = 701158080.

The previous prime is 2457648307. The next prime is 2457648407. The reversal of 2457648312 is 2138467542.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211443 + ... + 1213469.

It is an arithmetic number, because the mean of its divisors is an integer number (74559420).

Almost surely, 2^2457648312 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 2457648312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578852160).

2457648312 is an abundant number, since it is smaller than the sum of its proper divisors (4700056008).

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

2457648312 is a wasteful number, since it uses less digits than its factorization.

2457648312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3081 (or 3070 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 2457648312 is about 49574.6740987775. The cubic root of 2457648312 is about 1349.5011072892.

The spelling of 2457648312 in words is "two billion, four hundred fifty-seven million, six hundred forty-eight thousand, three hundred twelve".