2211150480 has 240 divisors, whose sum is σ = 8699068224. Its totient is φ = 459432960.

The previous prime is 2211150467. The next prime is 2211150499. The reversal of 2211150480 is 840511122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2211150480.

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, 120814 + ... + 137906.

Almost surely, 2^2211150480 is an apocalyptic number.

2211150480 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 2211150480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4349534112).

2211150480 is an abundant number, since it is smaller than the sum of its proper divisors (6487917744).

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

2211150480 is a wasteful number, since it uses less digits than its factorization.

2211150480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17134 (or 17121 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2211150480 is about 47022.8718816705. The cubic root of 2211150480 is about 1302.7850508905.

The spelling of 2211150480 in words is "two billion, two hundred eleven million, one hundred fifty thousand, four hundred eighty".