2464800000 has 432 divisors, whose sum is σ = 8941927680. Its totient is φ = 599040000.

The previous prime is 2464799983. The next prime is 2464800001. The reversal of 2464800000 is 84642.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2464800001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31199961 + ... + 31200039.

Almost surely, 2^2464800000 is an apocalyptic number.

2464800000 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 2464800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470963840).

2464800000 is an abundant number, since it is smaller than the sum of its proper divisors (6477127680).

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

2464800000 is an frugal number, since it uses more digits than its factorization.

2464800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2464800000 is about 49646.7521596328. The cubic root of 2464800000 is about 1350.8088431368.

Adding to 2464800000 its reverse (84642), we get a palindrome (2464884642).

The spelling of 2464800000 in words is "two billion, four hundred sixty-four million, eight hundred thousand".