2656396200 has 288 divisors, whose sum is σ = 9042814080. Its totient is φ = 642816000.

The previous prime is 2656396189. The next prime is 2656396229. The reversal of 2656396200 is 26936562.

2656396200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9802065 + ... + 9802335.

It is an arithmetic number, because the mean of its divisors is an integer number (31398660).

Almost surely, 2^2656396200 is an apocalyptic number.

2656396200 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 2656396200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521407040).

2656396200 is an abundant number, since it is smaller than the sum of its proper divisors (6386417880).

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

2656396200 is a wasteful number, since it uses less digits than its factorization.

2656396200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 2656396200 is about 51540.2386490400. The cubic root of 2656396200 is about 1384.9399722883.

The spelling of 2656396200 in words is "two billion, six hundred fifty-six million, three hundred ninety-six thousand, two hundred".