2721924144 has 240 divisors, whose sum is σ = 8208046080. Its totient is φ = 840153600.

The previous prime is 2721924133. The next prime is 2721924151. The reversal of 2721924144 is 4414291272.

It is a happy number.

2721924144 is a `hidden beast` number, since 27 + 219 + 2 + 414 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2721924099 and 2721924108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26426397 + ... + 26426499.

It is an arithmetic number, because the mean of its divisors is an integer number (34200192).

Almost surely, 2^2721924144 is an apocalyptic number.

2721924144 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 2721924144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104023040).

2721924144 is an abundant number, since it is smaller than the sum of its proper divisors (5486121936).

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

2721924144 is a wasteful number, since it uses less digits than its factorization.

2721924144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 311 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2721924144 is about 52172.0628689340. The cubic root of 2721924144 is about 1396.2354892647.

The spelling of 2721924144 in words is "two billion, seven hundred twenty-one million, nine hundred twenty-four thousand, one hundred forty-four".