2195756640 has 1152 divisors, whose sum is σ = 10424816640. Its totient is φ = 425779200.

The previous prime is 2195756639. The next prime is 2195756657. The reversal of 2195756640 is 466575912.

2195756640 is a `hidden beast` number, since 2 + 19 + 575 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53555020 + ... + 53555060.

It is an arithmetic number, because the mean of its divisors is an integer number (9049320).

Almost surely, 2^2195756640 is an apocalyptic number.

2195756640 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 2195756640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212408320).

2195756640 is an abundant number, since it is smaller than the sum of its proper divisors (8229060000).

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

2195756640 is a wasteful number, since it uses less digits than its factorization.

2195756640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2195756640 is about 46858.9013955726. The cubic root of 2195756640 is about 1299.7547150636.

The spelling of 2195756640 in words is "two billion, one hundred ninety-five million, seven hundred fifty-six thousand, six hundred forty".