2720221440 has 288 divisors, whose sum is σ = 8990002560. Its totient is φ = 700710912.

The previous prime is 2720221433. The next prime is 2720221453. The reversal of 2720221440 is 441220272.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2720221440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24956106 + ... + 24956214.

Almost surely, 2^2720221440 is an apocalyptic number.

2720221440 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 2720221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495001280).

2720221440 is an abundant number, since it is smaller than the sum of its proper divisors (6269781120).

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

2720221440 is a wasteful number, since it uses less digits than its factorization.

2720221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 2720221440 is about 52155.7421575036. The cubic root of 2720221440 is about 1395.9442894219.

The spelling of 2720221440 in words is "two billion, seven hundred twenty million, two hundred twenty-one thousand, four hundred forty".