2456842752 has 720 divisors, whose sum is σ = 9508891392. Its totient is φ = 627056640.

The previous prime is 2456842733. The next prime is 2456842753. The reversal of 2456842752 is 2572486542.

Its product of digits (1075200) is a multiple of the sum of its prime divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 2456842698 and 2456842707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456842753) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79252977 + ... + 79253007.

Almost surely, 2^2456842752 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 2456842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754445696).

2456842752 is an abundant number, since it is smaller than the sum of its proper divisors (7052048640).

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

2456842752 is an equidigital number, since it uses as much as digits as its factorization.

2456842752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 56 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 2456842752 is about 49566.5487198776. The cubic root of 2456842752 is about 1349.3536461432.

The spelling of 2456842752 in words is "two billion, four hundred fifty-six million, eight hundred forty-two thousand, seven hundred fifty-two".