2738736 has 240 divisors, whose sum is σ = 10832640. Its totient is φ = 622080.

The previous prime is 2738719. The next prime is 2738753. The reversal of 2738736 is 6378372.

It is an interprime number because it is at equal distance from previous prime (2738719) and next prime (2738753).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2738736.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144135 + ... + 144153.

It is an arithmetic number, because the mean of its divisors is an integer number (45136).

2^2738736 is an apocalyptic number.

2738736 is a gapful number since it is divisible by the number (26) 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 2738736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

2738736 is an abundant number, since it is smaller than the sum of its proper divisors (8093904).

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

2738736 is a wasteful number, since it uses less digits than its factorization.

2738736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 2738736 is about 1654.9126865185. The cubic root of 2738736 is about 139.9104188829.

It can be divided in two parts, 273 and 8736, that added together give a palindrome (9009).

The spelling of 2738736 in words is "two million, seven hundred thirty-eight thousand, seven hundred thirty-six".