2148363984 has 320 divisors, whose sum is σ = 6719569920. Its totient is φ = 585031680.

The previous prime is 2148363983. The next prime is 2148364019. The reversal of 2148363984 is 4893638412.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148363983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15455787 + ... + 15455925.

It is an arithmetic number, because the mean of its divisors is an integer number (20998656).

Almost surely, 2^2148363984 is an apocalyptic number.

2148363984 is a gapful number since it is divisible by the number (24) 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 2148363984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359784960).

2148363984 is an abundant number, since it is smaller than the sum of its proper divisors (4571205936).

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

2148363984 is a wasteful number, since it uses less digits than its factorization.

2148363984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 2148363984 is about 46350.4475059303. The cubic root of 2148363984 is about 1290.3354262656.

The spelling of 2148363984 in words is "two billion, one hundred forty-eight million, three hundred sixty-three thousand, nine hundred eighty-four".