2197460664 has 576 divisors, whose sum is σ = 8066822400. Its totient is φ = 555641856.

The previous prime is 2197460659. The next prime is 2197460669. The reversal of 2197460664 is 4660647912.

2197460664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2197460659) and next prime (2197460669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2197460669) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37245067 + ... + 37245125.

It is an arithmetic number, because the mean of its divisors is an integer number (14004900).

Almost surely, 2^2197460664 is an apocalyptic number.

2197460664 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 2197460664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033411200).

2197460664 is an abundant number, since it is smaller than the sum of its proper divisors (5869361736).

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

2197460664 is a wasteful number, since it uses less digits than its factorization.

2197460664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2197460664 is about 46877.0803698353. The cubic root of 2197460664 is about 1300.0908543997.

The spelling of 2197460664 in words is "two billion, one hundred ninety-seven million, four hundred sixty thousand, six hundred sixty-four".