2119721472 has 480 divisors, whose sum is σ = 7353815040. Its totient is φ = 580608000.

The previous prime is 2119721459. The next prime is 2119721473. The reversal of 2119721472 is 2741279112.

2119721472 is a `hidden beast` number, since 2 + 119 + 72 + 1 + 472 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2119721473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29855197 + ... + 29855267.

It is an arithmetic number, because the mean of its divisors is an integer number (15320448).

Almost surely, 2^2119721472 is an apocalyptic number.

2119721472 is a gapful number since it is divisible by the number (22) 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 2119721472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676907520).

2119721472 is an abundant number, since it is smaller than the sum of its proper divisors (5234093568).

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

2119721472 is a wasteful number, since it uses less digits than its factorization.

2119721472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 137 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2119721472 is about 46040.4330127335. The cubic root of 2119721472 is about 1284.5753964613.

It can be divided in two parts, 211972 and 1472, that added together give a square (213444 = 462²).

The spelling of 2119721472 in words is "two billion, one hundred nineteen million, seven hundred twenty-one thousand, four hundred seventy-two".