2210025888 has 144 divisors (see below), whose sum is σ = 7560745920. Its totient is φ = 598192128.

The previous prime is 2210025833. The next prime is 2210025889. The reversal of 2210025888 is 8885200122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2210025889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9456 + ... + 67152.

It is an arithmetic number, because the mean of its divisors is an integer number (52505180).

Almost surely, 2^2210025888 is an apocalyptic number.

2210025888 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 2210025888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780372960).

2210025888 is an abundant number, since it is smaller than the sum of its proper divisors (5350720032).

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

2210025888 is a wasteful number, since it uses less digits than its factorization.

2210025888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57739 (or 57728 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2210025888 is about 47010.9124353059. The cubic root of 2210025888 is about 1302.5641477734.

The spelling of 2210025888 in words is "two billion, two hundred ten million, twenty-five thousand, eight hundred eighty-eight".