2459496960 has 400 divisors, whose sum is σ = 9135185400. Its totient is φ = 631701504.

The previous prime is 2459496943. The next prime is 2459497039. The reversal of 2459496960 is 696949542.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2354966784 + 104530176 = 48528^2 + 10224^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2459496897 and 2459496906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6013236 + ... + 6013644.

Almost surely, 2^2459496960 is an apocalyptic number.

2459496960 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 2459496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567592700).

2459496960 is an abundant number, since it is smaller than the sum of its proper divisors (6675688440).

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

2459496960 is an equidigital number, since it uses as much as digits as its factorization.

2459496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 2459496960 is about 49593.3156786275. The cubic root of 2459496960 is about 1349.8393882999.

The spelling of 2459496960 in words is "two billion, four hundred fifty-nine million, four hundred ninety-six thousand, nine hundred sixty".