2206752000 has 288 divisors, whose sum is σ = 7428255744. Its totient is φ = 580608000.

The previous prime is 2206751969. The next prime is 2206752007. The reversal of 2206752000 is 2576022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2206752007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12191910 + ... + 12192090.

Almost surely, 2^2206752000 is an apocalyptic number.

2206752000 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 2206752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714127872).

2206752000 is an abundant number, since it is smaller than the sum of its proper divisors (5221503744).

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

2206752000 is a wasteful number, since it uses less digits than its factorization.

2206752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2206752000 is about 46976.0790190071. The cubic root of 2206752000 is about 1301.9206324422.

The spelling of 2206752000 in words is "two billion, two hundred six million, seven hundred fifty-two thousand".