2426787825000 has 1536 divisors, whose sum is σ = 10545525043200. Its totient is φ = 449280000000.

The previous prime is 2426787824971. The next prime is 2426787825023. The reversal of 2426787825000 is 5287876242.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1865324350 + ... + 1865325650.

It is an arithmetic number, because the mean of its divisors is an integer number (6865576200).

Almost surely, 2^{2426787825000} is an apocalyptic number.

2426787825000 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 2426787825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272762521600).

2426787825000 is an abundant number, since it is smaller than the sum of its proper divisors (8118737218200).

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

2426787825000 is a wasteful number, since it uses less digits than its factorization.

2426787825000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 2426787825000 in words is "two trillion, four hundred twenty-six billion, seven hundred eighty-seven million, eight hundred twenty-five thousand".