2721972240 has 240 divisors, whose sum is σ = 10074896832. Its totient is φ = 654345216.

The previous prime is 2721972181. The next prime is 2721972259. The reversal of 2721972240 is 422791272.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 2721972195 and 2721972204.

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, 399099 + ... + 405861.

Almost surely, 2^2721972240 is an apocalyptic number.

2721972240 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 2721972240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037448416).

2721972240 is an abundant number, since it is smaller than the sum of its proper divisors (7352924592).

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

2721972240 is a wasteful number, since it uses less digits than its factorization.

2721972240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6838 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2721972240 is about 52172.5238032434. The cubic root of 2721972240 is about 1396.2437129750.

The spelling of 2721972240 in words is "two billion, seven hundred twenty-one million, nine hundred seventy-two thousand, two hundred forty".