2426006926140 has 768 divisors, whose sum is σ = 8620867584000. Its totient is φ = 497299461120.

The previous prime is 2426006926097. The next prime is 2426006926177. The reversal of 2426006926140 is 416296006242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2426006926092 and 2426006926101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5239755549 + ... + 5239756011.

It is an arithmetic number, because the mean of its divisors is an integer number (11225088000).

Almost surely, 2^{2426006926140} is an apocalyptic number.

2426006926140 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 2426006926140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310433792000).

2426006926140 is an abundant number, since it is smaller than the sum of its proper divisors (6194860657860).

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

2426006926140 is a wasteful number, since it uses less digits than its factorization.

2426006926140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 2426006926140 in words is "two trillion, four hundred twenty-six billion, six million, nine hundred twenty-six thousand, one hundred forty".