2148142080 has 176 divisors, whose sum is σ = 7852619520. Its totient is φ = 490979328.

The previous prime is 2148142079. The next prime is 2148142123. The reversal of 2148142080 is 802418412.

It is a super-2 number, since 2×2148142080² = 9229028791733452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97531 + ... + 117509.

Almost surely, 2^2148142080 is an apocalyptic number.

2148142080 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 2148142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926309760).

2148142080 is an abundant number, since it is smaller than the sum of its proper divisors (5704477440).

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

2148142080 is a wasteful number, since it uses less digits than its factorization.

2148142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20014 (or 19996 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2148142080 is about 46348.0536808181. The cubic root of 2148142080 is about 1290.2909985904.

The spelling of 2148142080 in words is "two billion, one hundred forty-eight million, one hundred forty-two thousand, eighty".