2196728100 has 720 divisors, whose sum is σ = 8983675008. Its totient is φ = 452874240.

The previous prime is 2196728087. The next prime is 2196728141. The reversal of 2196728100 is 18276912.

It is a super-2 number, since 2×2196728100² = 9651228690659220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 41447674 + ... + 41447726.

Almost surely, 2^2196728100 is an apocalyptic number.

2196728100 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 2196728100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491837504).

2196728100 is an abundant number, since it is smaller than the sum of its proper divisors (6786946908).

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

2196728100 is a wasteful number, since it uses less digits than its factorization.

2196728100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 2196728100 is about 46869.2660492993. The cubic root of 2196728100 is about 1299.9463685961.

The spelling of 2196728100 in words is "two billion, one hundred ninety-six million, seven hundred twenty-eight thousand, one hundred".