2422854000 has 720 divisors, whose sum is σ = 10234407456. Its totient is φ = 532224000.

The previous prime is 2422853999. The next prime is 2422854019. The reversal of 2422854000 is 4582242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36161967 + ... + 36162033.

Almost surely, 2^2422854000 is an apocalyptic number.

2422854000 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 2422854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117203728).

2422854000 is an abundant number, since it is smaller than the sum of its proper divisors (7811553456).

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

2422854000 is a wasteful number, since it uses less digits than its factorization.

2422854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2422854000 is about 49222.4948575344. The cubic root of 2422854000 is about 1343.1022650680.

The spelling of 2422854000 in words is "two billion, four hundred twenty-two million, eight hundred fifty-four thousand".