2213757000 has 1024 divisors, whose sum is σ = 10189670400. Its totient is φ = 431308800.

The previous prime is 2213756977. The next prime is 2213757023. The reversal of 2213757000 is 7573122.

2213757000 is a `hidden beast` number, since 221 + 375 + 70 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2213756977) and next prime (2213757023).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41768974 + ... + 41769026.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2^2213757000 is an apocalyptic number.

2213757000 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 2213757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2213757000 is an abundant number, since it is smaller than the sum of its proper divisors (7975913400).

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

2213757000 is a wasteful number, since it uses less digits than its factorization.

2213757000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 2213757000 is about 47050.5791675299. The cubic root of 2213757000 is about 1303.2967606526.

The spelling of 2213757000 in words is "two billion, two hundred thirteen million, seven hundred fifty-seven thousand".