2723086080 has 1152 divisors, whose sum is σ = 12362112000. Its totient is φ = 557383680.

The previous prime is 2723086063. The next prime is 2723086103. The reversal of 2723086080 is 806803272.

It is a happy number.

2723086080 is a `hidden beast` number, since 27 + 23 + 0 + 8 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93899506 + ... + 93899534.

It is an arithmetic number, because the mean of its divisors is an integer number (10731000).

Almost surely, 2^2723086080 is an apocalyptic number.

2723086080 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 2723086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056000).

2723086080 is an abundant number, since it is smaller than the sum of its proper divisors (9639025920).

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

2723086080 is a wasteful number, since it uses less digits than its factorization.

2723086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2723086080 is about 52183.1972956813. The cubic root of 2723086080 is about 1396.4341361778.

The spelling of 2723086080 in words is "two billion, seven hundred twenty-three million, eighty-six thousand, eighty".