2123292864 has 224 divisors, whose sum is σ = 7373721600. Its totient is φ = 522408960.

The previous prime is 2123292833. The next prime is 2123292869. The reversal of 2123292864 is 4682923212.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (2123292869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277117 + ... + 284675.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 2^2123292864 is an apocalyptic number.

2123292864 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 2123292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

2123292864 is an abundant number, since it is smaller than the sum of its proper divisors (5250428736).

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

2123292864 is a wasteful number, since it uses less digits than its factorization.

2123292864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7601 counting only the distinct ones).

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

The square root of 2123292864 is about 46079.2020764249. The cubic root of 2123292864 is about 1285.2964264390.

The spelling of 2123292864 in words is "two billion, one hundred twenty-three million, two hundred ninety-two thousand, eight hundred sixty-four".