2736640 has 40 divisors (see below), whose sum is σ = 6567660. Its totient is φ = 1093632.

The previous prime is 2736637. The next prime is 2736673. The reversal of 2736640 is 466372.

It can be written as a sum of positive squares in 2 ways, for example, as 2715904 + 20736 = 1648^2 + 144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 2¹³ + 7 + 3⁵ + 6 + 6⁸ + 4¹⁰ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2736599 and 2736608.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2026 + ... + 3094.

2^2736640 is an apocalyptic number.

2736640 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 2736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283830).

2736640 is an abundant number, since it is smaller than the sum of its proper divisors (3831020).

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

2736640 is an equidigital number, since it uses as much as digits as its factorization.

2736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 2736640 is about 1654.2792992720. The cubic root of 2736640 is about 139.8747178539.

The spelling of 2736640 in words is "two million, seven hundred thirty-six thousand, six hundred forty".