2148033888 has 288 divisors, whose sum is σ = 8202684672. Its totient is φ = 514944000.

The previous prime is 2148033851. The next prime is 2148033919. The reversal of 2148033888 is 8883308412.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2148033888² = 9228099167992793088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284563 + ... + 292013.

It is an arithmetic number, because the mean of its divisors is an integer number (28481544).

Almost surely, 2^2148033888 is an apocalyptic number.

2148033888 is a gapful number since it is divisible by the number (28) 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 2148033888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4101342336).

2148033888 is an abundant number, since it is smaller than the sum of its proper divisors (6054650784).

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

2148033888 is a wasteful number, since it uses less digits than its factorization.

2148033888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7498 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2148033888 is about 46346.8864973689. The cubic root of 2148033888 is about 1290.2693362264.

The spelling of 2148033888 in words is "two billion, one hundred forty-eight million, thirty-three thousand, eight hundred eighty-eight".