2426607256500 has 288 divisors, whose sum is σ = 8826163347456. Its totient is φ = 549743846400.

The previous prime is 2426607256393. The next prime is 2426607256501. The reversal of 2426607256500 is 56527066242.

2426607256500 is a `hidden beast` number, since 2 + 4 + 26 + 6 + 0 + 72 + 56 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426607256501) 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 95 ways as a sum of consecutive naturals, for example, 3218637 + ... + 3900363.

It is an arithmetic number, because the mean of its divisors is an integer number (30646400512).

Almost surely, 2^{2426607256500} is an apocalyptic number.

2426607256500 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 2426607256500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413081673728).

2426607256500 is an abundant number, since it is smaller than the sum of its proper divisors (6399556090956).

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

2426607256500 is a wasteful number, since it uses less digits than its factorization.

2426607256500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681872 (or 681857 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2426607256500 in words is "two trillion, four hundred twenty-six billion, six hundred seven million, two hundred fifty-six thousand, five hundred".