2426839392000 has 288 divisors, whose sum is σ = 8064147087360. Its totient is φ = 646884249600.

The previous prime is 2426839391989. The next prime is 2426839392037. The reversal of 2426839392000 is 2939386242.

It is a super-4 number, since 4×2426839392000⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341660449 + ... + 341667551.

It is an arithmetic number, because the mean of its divisors is an integer number (28000510720).

Almost surely, 2^{2426839392000} is an apocalyptic number.

2426839392000 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 2426839392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032073543680).

2426839392000 is an abundant number, since it is smaller than the sum of its proper divisors (5637307695360).

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

2426839392000 is an equidigital number, since it uses as much as digits as its factorization.

2426839392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10696 (or 10672 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 2426839392000 in words is "two trillion, four hundred twenty-six billion, eight hundred thirty-nine million, three hundred ninety-two thousand".