2469688704 has 448 divisors, whose sum is σ = 8918880000. Its totient is φ = 665127936.

The previous prime is 2469688681. The next prime is 2469688717. The reversal of 2469688704 is 4078869642.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 55 ways as a sum of consecutive naturals, for example, 12410397 + ... + 12410595.

Almost surely, 2^2469688704 is an apocalyptic number.

2469688704 is a gapful number since it is divisible by the number (24) 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 2469688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459440000).

2469688704 is an abundant number, since it is smaller than the sum of its proper divisors (6449191296).

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

2469688704 is an equidigital number, since it uses as much as digits as its factorization.

2469688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2469688704 is about 49695.9626529158. The cubic root of 2469688704 is about 1351.7013216952.

The spelling of 2469688704 in words is "two billion, four hundred sixty-nine million, six hundred eighty-eight thousand, seven hundred four".