2148546600 has 384 divisors, whose sum is σ = 7987584000. Its totient is φ = 529079040.

The previous prime is 2148546593. The next prime is 2148546611. The reversal of 2148546600 is 66458412.

2148546600 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 5 + 46 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4411557 + ... + 4412043.

It is an arithmetic number, because the mean of its divisors is an integer number (20801000).

Almost surely, 2^2148546600 is an apocalyptic number.

2148546600 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 2148546600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993792000).

2148546600 is an abundant number, since it is smaller than the sum of its proper divisors (5839037400).

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

2148546600 is a wasteful number, since it uses less digits than its factorization.

2148546600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 559 counting only the distinct ones).

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

The square root of 2148546600 is about 46352.4174126873. The cubic root of 2148546600 is about 1290.3719857467.

The spelling of 2148546600 in words is "two billion, one hundred forty-eight million, five hundred forty-six thousand, six hundred".