2468568960 has 896 divisors, whose sum is σ = 10675899360. Its totient is φ = 537477120.

The previous prime is 2468568941. The next prime is 2468568961. The reversal of 2468568960 is 698658642.

It is a happy number.

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 = 2468568897 and 2468568906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468568961) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 66718062 + ... + 66718098.

Almost surely, 2^2468568960 is an apocalyptic number.

2468568960 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 2468568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5337949680).

2468568960 is an abundant number, since it is smaller than the sum of its proper divisors (8207330400).

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

2468568960 is a wasteful number, since it uses less digits than its factorization.

2468568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 2468568960 is about 49684.6954302832. The cubic root of 2468568960 is about 1351.4970060330.

The spelling of 2468568960 in words is "two billion, four hundred sixty-eight million, five hundred sixty-eight thousand, nine hundred sixty".