2724136704 has 144 divisors (see below), whose sum is σ = 8480147200. Its totient is φ = 860212224.

The previous prime is 2724136691. The next prime is 2724136717. The reversal of 2724136704 is 4076314272.

It is an interprime number because it is at equal distance from previous prime (2724136691) and next prime (2724136717).

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 120957 + ... + 141699.

Almost surely, 2^2724136704 is an apocalyptic number.

2724136704 is a gapful number since it is divisible by the number (24) 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 2724136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240073600).

2724136704 is an abundant number, since it is smaller than the sum of its proper divisors (5756010496).

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

2724136704 is a wasteful number, since it uses less digits than its factorization.

2724136704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20787 (or 20767 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2724136704 is about 52193.2630135346. The cubic root of 2724136704 is about 1396.6137043261.

The spelling of 2724136704 in words is "two billion, seven hundred twenty-four million, one hundred thirty-six thousand, seven hundred four".