2780136 has 64 divisors (see below), whose sum is σ = 7886400. Its totient is φ = 907200.

The previous prime is 2780131. The next prime is 2780149. The reversal of 2780136 is 6310872.

It is a Harshad number since it is a multiple of its sum of digits (27).

2780136 is an undulating number in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13071 + ... + 13281.

It is an arithmetic number, because the mean of its divisors is an integer number (123225).

2^2780136 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 2780136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943200).

2780136 is an abundant number, since it is smaller than the sum of its proper divisors (5106264).

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

2780136 is a wasteful number, since it uses less digits than its factorization.

2780136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2780136 is about 1667.3739832443. The cubic root of 2780136 is about 140.6118796648.

It can be divided in two parts, 2780 and 136, that added together give a square (2916 = 54²).

The spelling of 2780136 in words is "two million, seven hundred eighty thousand, one hundred thirty-six".