2195516400 has 240 divisors, whose sum is σ = 8768748288. Its totient is φ = 456192000.

The previous prime is 2195516371. The next prime is 2195516423. The reversal of 2195516400 is 46155912.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80520 + ... + 104280.

Almost surely, 2^2195516400 is an apocalyptic number.

2195516400 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 2195516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384374144).

2195516400 is an abundant number, since it is smaller than the sum of its proper divisors (6573231888).

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

2195516400 is a wasteful number, since it uses less digits than its factorization.

2195516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23800 (or 23789 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 2195516400 is about 46856.3378850716. The cubic root of 2195516400 is about 1299.7073108331.

The spelling of 2195516400 in words is "two billion, one hundred ninety-five million, five hundred sixteen thousand, four hundred".