2468606640 has 80 divisors (see below), whose sum is σ = 7707840000. Its totient is φ = 653550336.

The previous prime is 2468606639. The next prime is 2468606653. The reversal of 2468606640 is 466068642.

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 = 2468606592 and 2468606601.

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, 3640 + ... + 70359.

It is an arithmetic number, because the mean of its divisors is an integer number (96348000).

Almost surely, 2^2468606640 is an apocalyptic number.

2468606640 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 2468606640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853920000).

2468606640 is an abundant number, since it is smaller than the sum of its proper divisors (5239233360).

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

2468606640 is a wasteful number, since it uses less digits than its factorization.

2468606640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74154 (or 74148 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 2468606640 is about 49685.0746200506. The cubic root of 2468606640 is about 1351.5038823716.

The spelling of 2468606640 in words is "two billion, four hundred sixty-eight million, six hundred six thousand, six hundred forty".