2197786464 has 72 divisors (see below), whose sum is σ = 6286224672. Its totient is φ = 728344320.

The previous prime is 2197786463. The next prime is 2197786477. The reversal of 2197786464 is 4646877912.

2197786464 is a `hidden beast` number, since 21 + 97 + 78 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 2197786464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197786463) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27769 + ... + 71879.

It is an arithmetic number, because the mean of its divisors is an integer number (87308676).

Almost surely, 2^2197786464 is an apocalyptic number.

2197786464 is a gapful number since it is divisible by the number (24) 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 2197786464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143112336).

2197786464 is an abundant number, since it is smaller than the sum of its proper divisors (4088438208).

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

2197786464 is a wasteful number, since it uses less digits than its factorization.

2197786464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44300 (or 44289 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2197786464 is about 46880.5552868137. Note that the first 3 decimals coincide. The cubic root of 2197786464 is about 1300.1551025986.

The spelling of 2197786464 in words is "two billion, one hundred ninety-seven million, seven hundred eighty-six thousand, four hundred sixty-four".