2211264000 has 480 divisors, whose sum is σ = 8713504800. Its totient is φ = 534528000.

The previous prime is 2211263993. The next prime is 2211264059. The reversal of 2211264000 is 4621122.

2211264000 is a `hidden beast` number, since 2 + 21 + 1 + 2 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 6335826 + ... + 6336174.

It is an arithmetic number, because the mean of its divisors is an integer number (18153135).

Almost surely, 2^2211264000 is an apocalyptic number.

2211264000 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 2211264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356752400).

2211264000 is an abundant number, since it is smaller than the sum of its proper divisors (6502240800).

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

2211264000 is a wasteful number, since it uses less digits than its factorization.

2211264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2211264000 is about 47024.0789383482. The cubic root of 2211264000 is about 1302.8073454123.

Adding to 2211264000 its reverse (4621122), we get a palindrome (2215885122).

The spelling of 2211264000 in words is "two billion, two hundred eleven million, two hundred sixty-four thousand".