2469840000 has 320 divisors, whose sum is σ = 8431426080. Its totient is φ = 640000000.

The previous prime is 2469839929. The next prime is 2469840007. The reversal of 2469840000 is 489642.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2469840000² = 12200219251200000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2469840007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9839875 + ... + 9840125.

Almost surely, 2^2469840000 is an apocalyptic number.

2469840000 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 2469840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4215713040).

2469840000 is an abundant number, since it is smaller than the sum of its proper divisors (5961586080).

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

2469840000 is an equidigital number, since it uses as much as digits as its factorization.

2469840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2469840000 is about 49697.4848458149. The cubic root of 2469840000 is about 1351.7289233962.

It can be divided in two parts, 246 and 9840000, that multiplied together give a square (2420640000 = 49200²).

The spelling of 2469840000 in words is "two billion, four hundred sixty-nine million, eight hundred forty thousand".