2721412440 has 192 divisors, whose sum is σ = 9321661440. Its totient is φ = 687202560.

The previous prime is 2721412439. The next prime is 2721412481. The reversal of 2721412440 is 442141272.

2721412440 is a `hidden beast` number, since 2 + 7 + 214 + 1 + 2 + 440 = 666.

It is a congruent number.

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, 851245 + ... + 854435.

It is an arithmetic number, because the mean of its divisors is an integer number (48550320).

Almost surely, 2^2721412440 is an apocalyptic number.

2721412440 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 2721412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660830720).

2721412440 is an abundant number, since it is smaller than the sum of its proper divisors (6600249000).

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

2721412440 is a wasteful number, since it uses less digits than its factorization.

2721412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2721412440 is about 52167.1586345279. The cubic root of 2721412440 is about 1396.1479893905.

The spelling of 2721412440 in words is "two billion, seven hundred twenty-one million, four hundred twelve thousand, four hundred forty".