2872212000 has 384 divisors, whose sum is σ = 11110514688. Its totient is φ = 634752000.

The previous prime is 2872211977. The next prime is 2872212017. The reversal of 2872212000 is 2122782.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2603449 + ... + 2604551.

It is an arithmetic number, because the mean of its divisors is an integer number (28933632).

Almost surely, 2^2872212000 is an apocalyptic number.

2872212000 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 2872212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555257344).

2872212000 is an abundant number, since it is smaller than the sum of its proper divisors (8238302688).

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

2872212000 is a wasteful number, since it uses less digits than its factorization.

2872212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2872212000 is about 53593.0219338302. The cubic root of 2872212000 is about 1421.4737064217.

Adding to 2872212000 its reverse (2122782), we get a palindrome (2874334782).

The spelling of 2872212000 in words is "two billion, eight hundred seventy-two million, two hundred twelve thousand".