2720931840 has 504 divisors, whose sum is σ = 10537349004. Its totient is φ = 648806400.

The previous prime is 2720931833. The next prime is 2720931853. The reversal of 2720931840 is 481390272.

It can be written as a sum of positive squares in 2 ways, for example, as 2359627776 + 361304064 = 48576^2 + 19008^2 .

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 = 2720931795 and 2720931804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44605410 + ... + 44605470.

Almost surely, 2^2720931840 is an apocalyptic number.

2720931840 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 2720931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268674502).

2720931840 is an abundant number, since it is smaller than the sum of its proper divisors (7816417164).

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

2720931840 is a wasteful number, since it uses less digits than its factorization.

2720931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2720931840 is about 52162.5520848051. The cubic root of 2720931840 is about 1396.0657982194.

It can be divided in two parts, 27209 and 31840, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 2720931840 in words is "two billion, seven hundred twenty million, nine hundred thirty-one thousand, eight hundred forty".