2147969664 has 320 divisors, whose sum is σ = 6800935680. Its totient is φ = 671846400.

The previous prime is 2147969657. The next prime is 2147969671. The reversal of 2147969664 is 4669697412.

It is a happy number.

2147969664 is a `hidden beast` number, since 21 + 479 + 6 + 96 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2147969657) and next prime (2147969671).

It is a super-2 number, since 2×2147969664² = 9227547354928545792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2147969664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13177647 + ... + 13177809.

It is an arithmetic number, because the mean of its divisors is an integer number (21252924).

Almost surely, 2^2147969664 is an apocalyptic number.

2147969664 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 2147969664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3400467840).

2147969664 is an abundant number, since it is smaller than the sum of its proper divisors (4652966016).

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

2147969664 is a wasteful number, since it uses less digits than its factorization.

2147969664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 2147969664 is about 46346.1936301138. The cubic root of 2147969664 is about 1290.2564768570.

The spelling of 2147969664 in words is "two billion, one hundred forty-seven million, nine hundred sixty-nine thousand, six hundred sixty-four".