2469343968 has 720 divisors, whose sum is σ = 9758659680. Its totient is φ = 595703808.

The previous prime is 2469343957. The next prime is 2469343973. The reversal of 2469343968 is 8693439642.

2469343968 is a `hidden beast` number, since 246 + 9 + 3 + 4 + 396 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85149778 + ... + 85149806.

It is an arithmetic number, because the mean of its divisors is an integer number (13553694).

Almost surely, 2^2469343968 is an apocalyptic number.

2469343968 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 2469343968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879329840).

2469343968 is an abundant number, since it is smaller than the sum of its proper divisors (7289315712).

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

2469343968 is a wasteful number, since it uses less digits than its factorization.

2469343968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 2469343968 is about 49692.4940810984. The cubic root of 2469343968 is about 1351.6384255376.

The spelling of 2469343968 in words is "two billion, four hundred sixty-nine million, three hundred forty-three thousand, nine hundred sixty-eight".