2164491264 has 176 divisors, whose sum is σ = 6297423552. Its totient is φ = 656965632.

The previous prime is 2164491253. The next prime is 2164491293. The reversal of 2164491264 is 4621944612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3314362 + ... + 3315014.

Almost surely, 2^2164491264 is an apocalyptic number.

2164491264 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 2164491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148711776).

2164491264 is an abundant number, since it is smaller than the sum of its proper divisors (4132932288).

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

2164491264 is a wasteful number, since it uses less digits than its factorization.

2164491264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 754 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 2164491264 is about 46524.0933710696. The cubic root of 2164491264 is about 1293.5561321864.

The spelling of 2164491264 in words is "two billion, one hundred sixty-four million, four hundred ninety-one thousand, two hundred sixty-four".