2148854400 has 1536 divisors, whose sum is σ = 10927872000. Its totient is φ = 398131200.

The previous prime is 2148854377. The next prime is 2148854401. The reversal of 2148854400 is 44588412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148854401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113097591 + ... + 113097609.

It is an arithmetic number, because the mean of its divisors is an integer number (7114500).

Almost surely, 2^2148854400 is an apocalyptic number.

2148854400 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 2148854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5463936000).

2148854400 is an abundant number, since it is smaller than the sum of its proper divisors (8779017600).

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

2148854400 is a wasteful number, since it uses less digits than its factorization.

2148854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2148854400 is about 46355.7375089643. The cubic root of 2148854400 is about 1290.4336022107.

The spelling of 2148854400 in words is "two billion, one hundred forty-eight million, eight hundred fifty-four thousand, four hundred".