2761836 has 96 divisors (see below), whose sum is σ = 8332800. Its totient is φ = 705600.

The previous prime is 2761831. The next prime is 2761841. The reversal of 2761836 is 6381672.

It is an interprime number because it is at equal distance from previous prime (2761831) and next prime (2761841).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (12096) is a multiple of the sum of its prime divisors (84).

It is a junction number, because it is equal to n+sod(n) for n = 2761797 and 2761806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2761831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45246 + ... + 45306.

It is an arithmetic number, because the mean of its divisors is an integer number (86800).

2^2761836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2761836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166400).

2761836 is an abundant number, since it is smaller than the sum of its proper divisors (5570964).

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

2761836 is a wasteful number, since it uses less digits than its factorization.

2761836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 84 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2761836 is about 1661.8772517849. The cubic root of 2761836 is about 140.3026784742.

It can be divided in two parts, 276 and 1836, that added together give a palindrome (2112).

The spelling of 2761836 in words is "two million, seven hundred sixty-one thousand, eight hundred thirty-six".