2720615680 has 144 divisors (see below), whose sum is σ = 6823885824. Its totient is φ = 1038172160.

The previous prime is 2720615647. The next prime is 2720615687. The reversal of 2720615680 is 865160272.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2720615687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2466009 + ... + 2467111.

It is an arithmetic number, because the mean of its divisors is an integer number (47388096).

Almost surely, 2^2720615680 is an apocalyptic number.

2720615680 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 2720615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411942912).

2720615680 is an abundant number, since it is smaller than the sum of its proper divisors (4103270144).

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

2720615680 is a wasteful number, since it uses less digits than its factorization.

2720615680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 2720615680 is about 52159.5214701976. The cubic root of 2720615680 is about 1396.0117239432.

The spelling of 2720615680 in words is "two billion, seven hundred twenty million, six hundred fifteen thousand, six hundred eighty".