2426388618720 has 384 divisors, whose sum is σ = 8563085475840. Its totient is φ = 572473518080.

The previous prime is 2426388618697. The next prime is 2426388618727. The reversal of 2426388618720 is 278168836242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426388618727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44393329 + ... + 44447951.

It is an arithmetic number, because the mean of its divisors is an integer number (22299701760).

Almost surely, 2^{2426388618720} is an apocalyptic number.

2426388618720 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 2426388618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281542737920).

2426388618720 is an abundant number, since it is smaller than the sum of its proper divisors (6136696857120).

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

2426388618720 is a wasteful number, since it uses less digits than its factorization.

2426388618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54878 (or 54870 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 2426388618720 in words is "two trillion, four hundred twenty-six billion, three hundred eighty-eight million, six hundred eighteen thousand, seven hundred twenty".