2195907840 has 576 divisors, whose sum is σ = 9242150400. Its totient is φ = 483065856.

The previous prime is 2195907827. The next prime is 2195907841. The reversal of 2195907840 is 487095912.

2195907840 is a `hidden beast` number, since 2 + 19 + 590 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2195907840² = 9644022483546931200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2195907841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7015524 + ... + 7015836.

It is an arithmetic number, because the mean of its divisors is an integer number (16045400).

Almost surely, 2^2195907840 is an apocalyptic number.

2195907840 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 2195907840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621075200).

2195907840 is an abundant number, since it is smaller than the sum of its proper divisors (7046242560).

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

2195907840 is a wasteful number, since it uses less digits than its factorization.

2195907840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2195907840 is about 46860.5147218850. The cubic root of 2195907840 is about 1299.7845481211.

The spelling of 2195907840 in words is "two billion, one hundred ninety-five million, nine hundred seven thousand, eight hundred forty".