2452800000 has 480 divisors, whose sum is σ = 9462144384. Its totient is φ = 552960000.

The previous prime is 2452799959. The next prime is 2452800037. The reversal of 2452800000 is 82542.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2452800000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33599964 + ... + 33600036.

Almost surely, 2^2452800000 is an apocalyptic number.

2452800000 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 2452800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731072192).

2452800000 is an abundant number, since it is smaller than the sum of its proper divisors (7009344384).

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

2452800000 is an frugal number, since it uses more digits than its factorization.

2452800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2452800000 is about 49525.7508777000. The cubic root of 2452800000 is about 1348.6131161789.

Adding to 2452800000 its reverse (82542), we get a palindrome (2452882542).

The spelling of 2452800000 in words is "two billion, four hundred fifty-two million, eight hundred thousand".