2426201856 has 432 divisors, whose sum is σ = 8139371520. Its totient is φ = 711659520.

The previous prime is 2426201849. The next prime is 2426201863. The reversal of 2426201856 is 6581026242.

It is a happy number.

2426201856 is a `hidden beast` number, since 24 + 2 + 620 + 1 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2426201849) and next prime (2426201863).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2426201856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36211935 + ... + 36212001.

Almost surely, 2^2426201856 is an apocalyptic number.

2426201856 is a gapful number since it is divisible by the number (26) 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 2426201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069685760).

2426201856 is an abundant number, since it is smaller than the sum of its proper divisors (5713169664).

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

2426201856 is a wasteful number, since it uses less digits than its factorization.

2426201856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2426201856 is about 49256.4904961773. The cubic root of 2426201856 is about 1343.7206051879.

The spelling of 2426201856 in words is "two billion, four hundred twenty-six million, two hundred one thousand, eight hundred fifty-six".