2195781600 has 288 divisors, whose sum is σ = 7381027584. Its totient is φ = 566784000.

The previous prime is 2195781563. The next prime is 2195781629. The reversal of 2195781600 is 61875912.

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, 14541525 + ... + 14541675.

It is an arithmetic number, because the mean of its divisors is an integer number (25628568).

Almost surely, 2^2195781600 is an apocalyptic number.

2195781600 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 2195781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690513792).

2195781600 is an abundant number, since it is smaller than the sum of its proper divisors (5185245984).

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

2195781600 is a wasteful number, since it uses less digits than its factorization.

2195781600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 2195781600 is about 46859.1677262838. The cubic root of 2195781600 is about 1299.7596399802.

The spelling of 2195781600 in words is "two billion, one hundred ninety-five million, seven hundred eighty-one thousand, six hundred".