2428800000000 has 1008 divisors, whose sum is σ = 9215432781696. Its totient is φ = 563200000000.

The previous prime is 2428799999987. The next prime is 2428800000013. The reversal of 2428800000000 is 88242.

It is an interprime number because it is at equal distance from previous prime (2428799999987) and next prime (2428800000013).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105599999989 + ... + 105600000011.

Almost surely, 2^{2428800000000} is an apocalyptic number.

2428800000000 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 2428800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607716390848).

2428800000000 is an abundant number, since it is smaller than the sum of its proper divisors (6786632781696).

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

2428800000000 is an frugal number, since it uses more digits than its factorization.

2428800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2428800000000 its reverse (88242), we get a palindrome (2428800088242).

The spelling of 2428800000000 in words is "two trillion, four hundred twenty-eight billion, eight hundred million", and thus it is an aban number.