2121472600 has 96 divisors (see below), whose sum is σ = 5483399040. Its totient is φ = 758016000.

The previous prime is 2121472571. The next prime is 2121472601. The reversal of 2121472600 is 62741212.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121472601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67440 + ... + 93760.

It is an arithmetic number, because the mean of its divisors is an integer number (57118740).

Almost surely, 2^2121472600 is an apocalyptic number.

2121472600 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 2121472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741699520).

2121472600 is an abundant number, since it is smaller than the sum of its proper divisors (3361926440).

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

2121472600 is a wasteful number, since it uses less digits than its factorization.

2121472600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26381 (or 26372 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 2121472600 is about 46059.4463709672. The cubic root of 2121472600 is about 1284.9290336136.

It can be divided in two parts, 2121 and 472600, that added together give a square (474721 = 689²).

The spelling of 2121472600 in words is "two billion, one hundred twenty-one million, four hundred seventy-two thousand, six hundred".