2426090032800 has 2592 divisors, whose sum is σ = 11174084812800. Its totient is φ = 502541107200.

The previous prime is 2426090032781. The next prime is 2426090032801. The reversal of 2426090032800 is 82300906242.

2426090032800 is a `hidden beast` number, since 2 + 42 + 609 + 0 + 0 + 3 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2426090032801) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 12191407101 + ... + 12191407299.

Almost surely, 2^{2426090032800} is an apocalyptic number.

2426090032800 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 2426090032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587042406400).

2426090032800 is an abundant number, since it is smaller than the sum of its proper divisors (8747994780000).

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

2426090032800 is a wasteful number, since it uses less digits than its factorization.

2426090032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2426090032800 in words is "two trillion, four hundred twenty-six billion, ninety million, thirty-two thousand, eight hundred".