2052721440 has 960 divisors, whose sum is σ = 9642302208. Its totient is φ = 401448960.

The previous prime is 2052721439. The next prime is 2052721571. The reversal of 2052721440 is 441272502.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120748312 + ... + 120748328.

Almost surely, 2^2052721440 is an apocalyptic number.

2052721440 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 2052721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821151104).

2052721440 is an abundant number, since it is smaller than the sum of its proper divisors (7589580768).

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

2052721440 is a wasteful number, since it uses less digits than its factorization.

2052721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2052721440 is about 45306.9690003646. The cubic root of 2052721440 is about 1270.8959804669.

Adding to 2052721440 its reverse (441272502), we get a palindrome (2493993942).

The spelling of 2052721440 in words is "two billion, fifty-two million, seven hundred twenty-one thousand, four hundred forty".