2458848960 has 336 divisors, whose sum is σ = 8884651776. Its totient is φ = 647212032.

The previous prime is 2458848943. The next prime is 2458848967. The reversal of 2458848960 is 698488542.

2458848960 is a `hidden beast` number, since 24 + 5 + 88 + 489 + 60 = 666.

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 = 2458848897 and 2458848906.

It is not an unprimeable number, because it can be changed into a prime (2458848967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8009127 + ... + 8009433.

It is an arithmetic number, because the mean of its divisors is an integer number (26442416).

Almost surely, 2^2458848960 is an apocalyptic number.

2458848960 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 2458848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442325888).

2458848960 is an abundant number, since it is smaller than the sum of its proper divisors (6425802816).

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

2458848960 is a wasteful number, since it uses less digits than its factorization.

2458848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2458848960 is about 49586.7821097518. The cubic root of 2458848960 is about 1349.7208311631.

The spelling of 2458848960 in words is "two billion, four hundred fifty-eight million, eight hundred forty-eight thousand, nine hundred sixty".