2729640 has 96 divisors (see below), whose sum is σ = 8759520. Its totient is φ = 680064.

The previous prime is 2729633. The next prime is 2729651. The reversal of 2729640 is 469272.

It is a happy number.

2729640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁹ + 7³ + 2¹⁹ + 9² + 6⁸ + 4⁵ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2729598 and 2729607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63459 + ... + 63501.

It is an arithmetic number, because the mean of its divisors is an integer number (91245).

2^2729640 is an apocalyptic number.

2729640 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 2729640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379760).

2729640 is an abundant number, since it is smaller than the sum of its proper divisors (6029880).

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

2729640 is a wasteful number, since it uses less digits than its factorization.

2729640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2729640 is about 1652.1622196383. The cubic root of 2729640 is about 139.7553550537.

The spelling of 2729640 in words is "two million, seven hundred twenty-nine thousand, six hundred forty".