2456113020 has 96 divisors (see below), whose sum is σ = 6956712000. Its totient is φ = 647430144.

The previous prime is 2456113013. The next prime is 2456113027. The reversal of 2456113020 is 203116542.

It is an interprime number because it is at equal distance from previous prime (2456113013) and next prime (2456113027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456113027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2297046 + ... + 2298114.

It is an arithmetic number, because the mean of its divisors is an integer number (72465750).

Almost surely, 2^2456113020 is an apocalyptic number.

2456113020 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 2456113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478356000).

2456113020 is an abundant number, since it is smaller than the sum of its proper divisors (4500598980).

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

2456113020 is a wasteful number, since it uses less digits than its factorization.

2456113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2456113020 is about 49559.1870393371. The cubic root of 2456113020 is about 1349.2200378040.

Adding to 2456113020 its reverse (203116542), we get a palindrome (2659229562).

The spelling of 2456113020 in words is "two billion, four hundred fifty-six million, one hundred thirteen thousand, twenty".