2720406528 has 132 divisors (see below), whose sum is σ = 8977486960. Its totient is φ = 777240576.

The previous prime is 2720406527. The next prime is 2720406541. The reversal of 2720406528 is 8256040272.

It is a super-2 number, since 2×2720406528² = 14801223355170029568, which contains 22 as substring.

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 = 2720406492 and 2720406501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720406527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43428 + ... + 85596.

Almost surely, 2^2720406528 is an apocalyptic number.

2720406528 is a gapful number since it is divisible by the number (28) 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 2720406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488743480).

2720406528 is an abundant number, since it is smaller than the sum of its proper divisors (6257080432).

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

2720406528 is a wasteful number, since it uses less digits than its factorization.

2720406528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42202 (or 42181 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2720406528 is about 52157.5165052938. The cubic root of 2720406528 is about 1395.9759494273.

The spelling of 2720406528 in words is "two billion, seven hundred twenty million, four hundred six thousand, five hundred twenty-eight".