2211153000 has 256 divisors, whose sum is σ = 8000778240. Its totient is φ = 497952000.

The previous prime is 2211152981. The next prime is 2211153013. The reversal of 2211153000 is 3511122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1490259 + ... + 1491741.

It is an arithmetic number, because the mean of its divisors is an integer number (31253040).

Almost surely, 2^2211153000 is an apocalyptic number.

2211153000 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 2211153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000389120).

2211153000 is an abundant number, since it is smaller than the sum of its proper divisors (5789625240).

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

2211153000 is a wasteful number, since it uses less digits than its factorization.

2211153000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 2211153000 is about 47022.8986771339. The cubic root of 2211153000 is about 1302.7855458089.

Adding to 2211153000 its reverse (3511122), we get a palindrome (2214664122).

It can be divided in two parts, 221115 and 3000, that added together give a triangular number (224115 = T₆₆₉).

The spelling of 2211153000 in words is "two billion, two hundred eleven million, one hundred fifty-three thousand".