2200627968 has 432 divisors, whose sum is σ = 7829337600. Its totient is φ = 535265280.

The previous prime is 2200627943. The next prime is 2200627981. The reversal of 2200627968 is 8697260022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11058333 + ... + 11058531.

Almost surely, 2^2200627968 is an apocalyptic number.

2200627968 is a gapful number since it is divisible by the number (28) 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 2200627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914668800).

2200627968 is an abundant number, since it is smaller than the sum of its proper divisors (5628709632).

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

2200627968 is a wasteful number, since it uses less digits than its factorization.

2200627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2200627968 is about 46910.8512819795. The cubic root of 2200627968 is about 1300.7151820200.

The spelling of 2200627968 in words is "two billion, two hundred million, six hundred twenty-seven thousand, nine hundred sixty-eight".