2426484528000 has 1536 divisors, whose sum is σ = 10462031798400. Its totient is φ = 532434124800.

The previous prime is 2426484527993. The next prime is 2426484528007. The reversal of 2426484528000 is 8254846242.

2426484528000 is a `hidden beast` number, since 2 + 42 + 6 + 4 + 84 + 528 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2426484527993) and next prime (2426484528007).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426484528007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 604653994 + ... + 604658006.

Almost surely, 2^{2426484528000} is an apocalyptic number.

2426484528000 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 2426484528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231015899200).

2426484528000 is an abundant number, since it is smaller than the sum of its proper divisors (8035547270400).

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

2426484528000 is a wasteful number, since it uses less digits than its factorization.

2426484528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097 (or 4072 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 2426484528000 in words is "two trillion, four hundred twenty-six billion, four hundred eighty-four million, five hundred twenty-eight thousand".