2456320240 has 80 divisors (see below), whose sum is σ = 6237788256. Its totient is φ = 892108800.

The previous prime is 2456320199. The next prime is 2456320253. The reversal of 2456320240 is 420236542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2456320199 and 2456320208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1161424 + ... + 1163536.

Almost surely, 2^2456320240 is an apocalyptic number.

2456320240 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 2456320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118894128).

2456320240 is an abundant number, since it is smaller than the sum of its proper divisors (3781468016).

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

2456320240 is a wasteful number, since it uses less digits than its factorization.

2456320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3458 (or 3452 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2456320240 is about 49561.2776267925. The cubic root of 2456320240 is about 1349.2579808888.

Adding to 2456320240 its reverse (420236542), we get a palindrome (2876556782).

The spelling of 2456320240 in words is "two billion, four hundred fifty-six million, three hundred twenty thousand, two hundred forty".