2469608960 has 160 divisors (see below), whose sum is σ = 7288408512. Its totient is φ = 781516800.

The previous prime is 2469608951. The next prime is 2469608983. The reversal of 2469608960 is 698069642.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 2469608899 and 2469608908.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 227660 + ... + 238260.

Almost surely, 2^2469608960 is an apocalyptic number.

2469608960 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 2469608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644204256).

2469608960 is an abundant number, since it is smaller than the sum of its proper divisors (4818799552).

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

2469608960 is a wasteful number, since it uses less digits than its factorization.

2469608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644 (or 10628 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 50.

The square root of 2469608960 is about 49695.1603277422. The cubic root of 2469608960 is about 1351.6867731369.

It can be divided in two parts, 246960 and 8960, that multiplied together give a square (2212761600 = 47040²).

The spelling of 2469608960 in words is "two billion, four hundred sixty-nine million, six hundred eight thousand, nine hundred sixty".