2653164864 has 336 divisors, whose sum is σ = 9319564800. Its totient is φ = 704775168.

The previous prime is 2653164827. The next prime is 2653164881. The reversal of 2653164864 is 4684613562.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4519579 + ... + 4520165.

It is an arithmetic number, because the mean of its divisors is an integer number (27736800).

Almost surely, 2^2653164864 is an apocalyptic number.

2653164864 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 2653164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4659782400).

2653164864 is an abundant number, since it is smaller than the sum of its proper divisors (6666399936).

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

2653164864 is a wasteful number, since it uses less digits than its factorization.

2653164864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 677 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 2653164864 is about 51508.8814089376. The cubic root of 2653164864 is about 1384.3781808133.

The spelling of 2653164864 in words is "two billion, six hundred fifty-three million, one hundred sixty-four thousand, eight hundred sixty-four".