2188290048 has 384 divisors, whose sum is σ = 7330901760. Its totient is φ = 566231040.

The previous prime is 2188290019. The next prime is 2188290079. The reversal of 2188290048 is 8400928812.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2188290048² = 9577226668351684608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2188289991 and 2188290009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29976540 + ... + 29976612.

It is an arithmetic number, because the mean of its divisors is an integer number (19090890).

Almost surely, 2^2188290048 is an apocalyptic number.

2188290048 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 2188290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665450880).

2188290048 is an abundant number, since it is smaller than the sum of its proper divisors (5142611712).

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

2188290048 is a wasteful number, since it uses less digits than its factorization.

2188290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 2188290048 is about 46779.1625406013. The cubic root of 2188290048 is about 1298.2797854936.

The spelling of 2188290048 in words is "two billion, one hundred eighty-eight million, two hundred ninety thousand, forty-eight".