2469091968 has 576 divisors, whose sum is σ = 9142398720. Its totient is φ = 634798080.

The previous prime is 2469091967. The next prime is 2469091979. The reversal of 2469091968 is 8691909642.

2469091968 is a `hidden beast` number, since 2 + 469 + 0 + 91 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2469091968² = 12192830292884226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2469091967) 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 71 ways as a sum of consecutive naturals, for example, 29748055 + ... + 29748137.

It is an arithmetic number, because the mean of its divisors is an integer number (15872220).

Almost surely, 2^2469091968 is an apocalyptic number.

2469091968 is a gapful number since it is divisible by the number (28) 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 2469091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571199360).

2469091968 is an abundant number, since it is smaller than the sum of its proper divisors (6673306752).

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

2469091968 is a wasteful number, since it uses less digits than its factorization.

2469091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2469091968 is about 49689.9584222004. The cubic root of 2469091968 is about 1351.5924451106.

The spelling of 2469091968 in words is "two billion, four hundred sixty-nine million, ninety-one thousand, nine hundred sixty-eight".