2122681600 has 216 divisors, whose sum is σ = 5847736832. Its totient is φ = 757555200.

The previous prime is 2122681559. The next prime is 2122681637. The reversal of 2122681600 is 61862212.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2578789 + ... + 2579611.

Almost surely, 2^2122681600 is an apocalyptic number.

2122681600 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 2122681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923868416).

2122681600 is an abundant number, since it is smaller than the sum of its proper divisors (3725055232).

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

2122681600 is a wasteful number, since it uses less digits than its factorization.

2122681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2122681600 is about 46072.5688452467. The cubic root of 2122681600 is about 1285.1730754476.

The spelling of 2122681600 in words is "two billion, one hundred twenty-two million, six hundred eighty-one thousand, six hundred".