2148426000 has 720 divisors, whose sum is σ = 9264228480. Its totient is φ = 454348800.

The previous prime is 2148425987. The next prime is 2148426011. The reversal of 2148426000 is 6248412.

2148426000 is a `hidden beast` number, since 2 + 14 + 8 + 42 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36413971 + ... + 36414029.

It is an arithmetic number, because the mean of its divisors is an integer number (12866984).

Almost surely, 2^2148426000 is an apocalyptic number.

2148426000 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 2148426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4632114240).

2148426000 is an abundant number, since it is smaller than the sum of its proper divisors (7115802480).

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

2148426000 is a wasteful number, since it uses less digits than its factorization.

2148426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2148426000 is about 46351.1164914072. The cubic root of 2148426000 is about 1290.3478420189.

The spelling of 2148426000 in words is "two billion, one hundred forty-eight million, four hundred twenty-six thousand".