2122468920 has 448 divisors, whose sum is σ = 8428341600. Its totient is φ = 474024960.

The previous prime is 2122468889. The next prime is 2122468937. The reversal of 2122468920 is 298642212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4169626 + ... + 4170134.

Almost surely, 2^2122468920 is an apocalyptic number.

2122468920 is a gapful number since it is divisible by the number (20) 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 2122468920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214170800).

2122468920 is an abundant number, since it is smaller than the sum of its proper divisors (6305872680).

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

2122468920 is a wasteful number, since it uses less digits than its factorization.

2122468920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2122468920 is about 46070.2606895164. The cubic root of 2122468920 is about 1285.1301517956.

The spelling of 2122468920 in words is "two billion, one hundred twenty-two million, four hundred sixty-eight thousand, nine hundred twenty".