2408944968 has 128 divisors (see below), whose sum is σ = 6874560000. Its totient is φ = 781171776.

The previous prime is 2408944919. The next prime is 2408944991. The reversal of 2408944968 is 8694498042.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3891363 + ... + 3891981.

It is an arithmetic number, because the mean of its divisors is an integer number (53707500).

Almost surely, 2^2408944968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408944968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437280000).

2408944968 is an abundant number, since it is smaller than the sum of its proper divisors (4465615032).

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

2408944968 is a wasteful number, since it uses less digits than its factorization.

2408944968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2408944968 is about 49081.0041462071. The cubic root of 2408944968 is about 1340.5271869367.

It can be divided in two parts, 2408 and 944968, that added together give a triangular number (947376 = T₁₃₇₆).

The spelling of 2408944968 in words is "two billion, four hundred eight million, nine hundred forty-four thousand, nine hundred sixty-eight".