2211678000 has 320 divisors, whose sum is σ = 9056087040. Its totient is φ = 505440000.

The previous prime is 2211677987. The next prime is 2211678023. The reversal of 2211678000 is 8761122.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 375075 + ... + 380925.

It is an arithmetic number, because the mean of its divisors is an integer number (28300272).

Almost surely, 2^2211678000 is an apocalyptic number.

2211678000 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 2211678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528043520).

2211678000 is an abundant number, since it is smaller than the sum of its proper divisors (6844409040).

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

2211678000 is a wasteful number, since it uses less digits than its factorization.

2211678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5890 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2211678000 is about 47028.4807324243. The cubic root of 2211678000 is about 1302.8886456075. Note that the first 3 decimals are identical.

The spelling of 2211678000 in words is "two billion, two hundred eleven million, six hundred seventy-eight thousand".