2464440400 has 60 divisors (see below), whose sum is σ = 5979538044. Its totient is φ = 976000000.

The previous prime is 2464440397. The next prime is 2464440401. The reversal of 2464440400 is 40444642.

It can be written as a sum of positive squares in 6 ways, for example, as 129231424 + 2335208976 = 11368^2 + 48324^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464440401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9900 + ... + 70900.

Almost surely, 2^2464440400 is an apocalyptic number.

2464440400 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 2464440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989769022).

2464440400 is an abundant number, since it is smaller than the sum of its proper divisors (3515097644).

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

2464440400 is a wasteful number, since it uses less digits than its factorization.

2464440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61120 (or 61109 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 2464440400 is about 49643.1304411799. The cubic root of 2464440400 is about 1350.7431482211.

The spelling of 2464440400 in words is "two billion, four hundred sixty-four million, four hundred forty thousand, four hundred".