2623212000 has 384 divisors, whose sum is σ = 9680186880. Its totient is φ = 689932800.

The previous prime is 2623211999. The next prime is 2623212017. The reversal of 2623212000 is 2123262.

2623212000 is a `hidden beast` number, since 2 + 623 + 21 + 20 + 0 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 11555887 + ... + 11556113.

It is an arithmetic number, because the mean of its divisors is an integer number (25208820).

Almost surely, 2^2623212000 is an apocalyptic number.

2623212000 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 2623212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840093440).

2623212000 is an abundant number, since it is smaller than the sum of its proper divisors (7056974880).

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

2623212000 is a wasteful number, since it uses less digits than its factorization.

2623212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2623212000 is about 51217.3017641500. The cubic root of 2623212000 is about 1379.1488134688.

Adding to 2623212000 its reverse (2123262), we get a palindrome (2625335262).

The spelling of 2623212000 in words is "two billion, six hundred twenty-three million, two hundred twelve thousand".